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Finding the Fourth Proportional to 410.36, 565.86 and 262.76

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Solution

The fourth proportional to 410.36, 565.86 and 262.76 is: 362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.36 : 565.86 = 262.76 : x
  2. Step 2: Convert to fraction form
    410.36/565.86 = 262.76/x
  3. Step 3: Cross multiply
    410.36x = 565.86 × 262.76
  4. Step 4: Simplify right side
    410.36x = 148,685.37
  5. Step 5: Solve for x
    x = 148,685.37/410.36
  6. Step 6: Final answer
    x = 362.33

Related Problems

Find fourth proportional to 205.18, 282.93 and 131.38
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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.