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Finding the Fourth Proportional to 354.53, 528.66 and 329.87

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Solution

The fourth proportional to 354.53, 528.66 and 329.87 is: 491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.53 : 528.66 = 329.87 : x
  2. Step 2: Convert to fraction form
    354.53/528.66 = 329.87/x
  3. Step 3: Cross multiply
    354.53x = 528.66 × 329.87
  4. Step 4: Simplify right side
    354.53x = 174,391.79
  5. Step 5: Solve for x
    x = 174,391.79/354.53
  6. Step 6: Final answer
    x = 491.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.