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Finding the Fourth Proportional to 285.60, 428.67 and 155.66

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Solution

The fourth proportional to 285.60, 428.67 and 155.66 is: 233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.60 : 428.67 = 155.66 : x
  2. Step 2: Convert to fraction form
    285.60/428.67 = 155.66/x
  3. Step 3: Cross multiply
    285.60x = 428.67 × 155.66
  4. Step 4: Simplify right side
    285.60x = 66,726.77
  5. Step 5: Solve for x
    x = 66,726.77/285.60
  6. Step 6: Final answer
    x = 233.64

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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.