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Finding the Fourth Proportional to 410.95, 566.91 and 286.81

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Solution

The fourth proportional to 410.95, 566.91 and 286.81 is: 395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.95 : 566.91 = 286.81 : x
  2. Step 2: Convert to fraction form
    410.95/566.91 = 286.81/x
  3. Step 3: Cross multiply
    410.95x = 566.91 × 286.81
  4. Step 4: Simplify right side
    410.95x = 162,595.46
  5. Step 5: Solve for x
    x = 162,595.46/410.95
  6. Step 6: Final answer
    x = 395.66

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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.