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Finding the Fourth Proportional to 229.66, 316.98 and 155.86

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Solution

The fourth proportional to 229.66, 316.98 and 155.86 is: 215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.66 : 316.98 = 155.86 : x
  2. Step 2: Convert to fraction form
    229.66/316.98 = 155.86/x
  3. Step 3: Cross multiply
    229.66x = 316.98 × 155.86
  4. Step 4: Simplify right side
    229.66x = 49,404.50
  5. Step 5: Solve for x
    x = 49,404.50/229.66
  6. Step 6: Final answer
    x = 215.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.