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Finding the Fourth Proportional to 353.71, 528.33 and 299.04

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Solution

The fourth proportional to 353.71, 528.33 and 299.04 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.71 : 528.33 = 299.04 : x
  2. Step 2: Convert to fraction form
    353.71/528.33 = 299.04/x
  3. Step 3: Cross multiply
    353.71x = 528.33 × 299.04
  4. Step 4: Simplify right side
    353.71x = 157,989.16
  5. Step 5: Solve for x
    x = 157,989.16/353.71
  6. Step 6: Final answer
    x = 446.66

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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.