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Finding the Fourth Proportional to 402.71, 555.36 and 262.68

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Solution

The fourth proportional to 402.71, 555.36 and 262.68 is: 362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.71 : 555.36 = 262.68 : x
  2. Step 2: Convert to fraction form
    402.71/555.36 = 262.68/x
  3. Step 3: Cross multiply
    402.71x = 555.36 × 262.68
  4. Step 4: Simplify right side
    402.71x = 145,878.90
  5. Step 5: Solve for x
    x = 145,878.90/402.71
  6. Step 6: Final answer
    x = 362.25

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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.