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Finding the Fourth Proportional to 230.42, 313.72 and 229.70

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Solution

The fourth proportional to 230.42, 313.72 and 229.70 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.42 : 313.72 = 229.70 : x
  2. Step 2: Convert to fraction form
    230.42/313.72 = 229.70/x
  3. Step 3: Cross multiply
    230.42x = 313.72 × 229.70
  4. Step 4: Simplify right side
    230.42x = 72,061.48
  5. Step 5: Solve for x
    x = 72,061.48/230.42
  6. Step 6: Final answer
    x = 312.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.