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Finding the Fourth Proportional to 230.57, 318.02 and 156.76

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Solution

The fourth proportional to 230.57, 318.02 and 156.76 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.57 : 318.02 = 156.76 : x
  2. Step 2: Convert to fraction form
    230.57/318.02 = 156.76/x
  3. Step 3: Cross multiply
    230.57x = 318.02 × 156.76
  4. Step 4: Simplify right side
    230.57x = 49,851.23
  5. Step 5: Solve for x
    x = 49,851.23/230.57
  6. Step 6: Final answer
    x = 216.21

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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.