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Finding the Fourth Proportional to 229.06, 316.13 and 155.53

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Solution

The fourth proportional to 229.06, 316.13 and 155.53 is: 214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.06 : 316.13 = 155.53 : x
  2. Step 2: Convert to fraction form
    229.06/316.13 = 155.53/x
  3. Step 3: Cross multiply
    229.06x = 316.13 × 155.53
  4. Step 4: Simplify right side
    229.06x = 49,167.70
  5. Step 5: Solve for x
    x = 49,167.70/229.06
  6. Step 6: Final answer
    x = 214.65

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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.