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Finding the Fourth Proportional to 352.42, 531.02 and 292.88

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Solution

The fourth proportional to 352.42, 531.02 and 292.88 is: 441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.42 : 531.02 = 292.88 : x
  2. Step 2: Convert to fraction form
    352.42/531.02 = 292.88/x
  3. Step 3: Cross multiply
    352.42x = 531.02 × 292.88
  4. Step 4: Simplify right side
    352.42x = 155,527.20
  5. Step 5: Solve for x
    x = 155,527.20/352.42
  6. Step 6: Final answer
    x = 441.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.