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Finding the Fourth Proportional to 285.59, 394.10 and 159.55

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Solution

The fourth proportional to 285.59, 394.10 and 159.55 is: 220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.59 : 394.10 = 159.55 : x
  2. Step 2: Convert to fraction form
    285.59/394.10 = 159.55/x
  3. Step 3: Cross multiply
    285.59x = 394.10 × 159.55
  4. Step 4: Simplify right side
    285.59x = 62,877.47
  5. Step 5: Solve for x
    x = 62,877.47/285.59
  6. Step 6: Final answer
    x = 220.16

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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.