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Finding the Fourth Proportional to 229.86, 316.86 and 156.12

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Solution

The fourth proportional to 229.86, 316.86 and 156.12 is: 215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.86 : 316.86 = 156.12 : x
  2. Step 2: Convert to fraction form
    229.86/316.86 = 156.12/x
  3. Step 3: Cross multiply
    229.86x = 316.86 × 156.12
  4. Step 4: Simplify right side
    229.86x = 49,468.18
  5. Step 5: Solve for x
    x = 49,468.18/229.86
  6. Step 6: Final answer
    x = 215.21

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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.