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Finding the Fourth Proportional to 411.14, 567.06 and 286.76

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Solution

The fourth proportional to 411.14, 567.06 and 286.76 is: 395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 567.06 = 286.76 : x
  2. Step 2: Convert to fraction form
    411.14/567.06 = 286.76/x
  3. Step 3: Cross multiply
    411.14x = 567.06 × 286.76
  4. Step 4: Simplify right side
    411.14x = 162,610.13
  5. Step 5: Solve for x
    x = 162,610.13/411.14
  6. Step 6: Final answer
    x = 395.51

Related Problems

Find fourth proportional to 205.57, 283.53 and 143.38
Half scale
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.