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Finding the Fourth Proportional to 285.17, 428.18 and 177.63

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Solution

The fourth proportional to 285.17, 428.18 and 177.63 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.17 : 428.18 = 177.63 : x
  2. Step 2: Convert to fraction form
    285.17/428.18 = 177.63/x
  3. Step 3: Cross multiply
    285.17x = 428.18 × 177.63
  4. Step 4: Simplify right side
    285.17x = 76,056.73
  5. Step 5: Solve for x
    x = 76,056.73/285.17
  6. Step 6: Final answer
    x = 266.71

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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.