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Finding the Fourth Proportional to 229.30, 316.32 and 150.58

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Solution

The fourth proportional to 229.30, 316.32 and 150.58 is: 207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 316.32 = 150.58 : x
  2. Step 2: Convert to fraction form
    229.30/316.32 = 150.58/x
  3. Step 3: Cross multiply
    229.30x = 316.32 × 150.58
  4. Step 4: Simplify right side
    229.30x = 47,631.47
  5. Step 5: Solve for x
    x = 47,631.47/229.30
  6. Step 6: Final answer
    x = 207.73

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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.