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Finding the Fourth Proportional to 330.32, 493.88 and 234

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Solution

The fourth proportional to 330.32, 493.88 and 234 is: 349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.32 : 493.88 = 234 : x
  2. Step 2: Convert to fraction form
    330.32/493.88 = 234/x
  3. Step 3: Cross multiply
    330.32x = 493.88 × 234
  4. Step 4: Simplify right side
    330.32x = 115,567.92
  5. Step 5: Solve for x
    x = 115,567.92/330.32
  6. Step 6: Final answer
    x = 349.87

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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.