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Finding the Fourth Proportional to 230.61, 345.94 and 76.53

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Solution

The fourth proportional to 230.61, 345.94 and 76.53 is: 114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.61 : 345.94 = 76.53 : x
  2. Step 2: Convert to fraction form
    230.61/345.94 = 76.53/x
  3. Step 3: Cross multiply
    230.61x = 345.94 × 76.53
  4. Step 4: Simplify right side
    230.61x = 26,475.89
  5. Step 5: Solve for x
    x = 26,475.89/230.61
  6. Step 6: Final answer
    x = 114.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.