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Finding the Fourth Proportional to 402.39, 555.53 and 284.40

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Solution

The fourth proportional to 402.39, 555.53 and 284.40 is: 392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.39 : 555.53 = 284.40 : x
  2. Step 2: Convert to fraction form
    402.39/555.53 = 284.40/x
  3. Step 3: Cross multiply
    402.39x = 555.53 × 284.40
  4. Step 4: Simplify right side
    402.39x = 157,991.31
  5. Step 5: Solve for x
    x = 157,991.31/402.39
  6. Step 6: Final answer
    x = 392.63

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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.