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Finding the Fourth Proportional to 402.26, 602.68 and 280.29

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Solution

The fourth proportional to 402.26, 602.68 and 280.29 is: 419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.26 : 602.68 = 280.29 : x
  2. Step 2: Convert to fraction form
    402.26/602.68 = 280.29/x
  3. Step 3: Cross multiply
    402.26x = 602.68 × 280.29
  4. Step 4: Simplify right side
    402.26x = 168,925.18
  5. Step 5: Solve for x
    x = 168,925.18/402.26
  6. Step 6: Final answer
    x = 419.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.