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Finding the Fourth Proportional to 402.91, 555.86 and 285.09

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Solution

The fourth proportional to 402.91, 555.86 and 285.09 is: 393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.91 : 555.86 = 285.09 : x
  2. Step 2: Convert to fraction form
    402.91/555.86 = 285.09/x
  3. Step 3: Cross multiply
    402.91x = 555.86 × 285.09
  4. Step 4: Simplify right side
    402.91x = 158,468.76
  5. Step 5: Solve for x
    x = 158,468.76/402.91
  6. Step 6: Final answer
    x = 393.31

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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.