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Finding the Fourth Proportional to 332.40, 458.46 and 238.98

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Solution

The fourth proportional to 332.40, 458.46 and 238.98 is: 329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.40 : 458.46 = 238.98 : x
  2. Step 2: Convert to fraction form
    332.40/458.46 = 238.98/x
  3. Step 3: Cross multiply
    332.40x = 458.46 × 238.98
  4. Step 4: Simplify right side
    332.40x = 109,562.77
  5. Step 5: Solve for x
    x = 109,562.77/332.40
  6. Step 6: Final answer
    x = 329.61

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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.