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Finding the Fourth Proportional to 384.53, 577.10 and 329.85

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Solution

The fourth proportional to 384.53, 577.10 and 329.85 is: 495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.53 : 577.10 = 329.85 : x
  2. Step 2: Convert to fraction form
    384.53/577.10 = 329.85/x
  3. Step 3: Cross multiply
    384.53x = 577.10 × 329.85
  4. Step 4: Simplify right side
    384.53x = 190,354.79
  5. Step 5: Solve for x
    x = 190,354.79/384.53
  6. Step 6: Final answer
    x = 495.04

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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.