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Finding the Fourth Proportional to 332.10, 457.92 and 295.20

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Solution

The fourth proportional to 332.10, 457.92 and 295.20 is: 407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 457.92 = 295.20 : x
  2. Step 2: Convert to fraction form
    332.10/457.92 = 295.20/x
  3. Step 3: Cross multiply
    332.10x = 457.92 × 295.20
  4. Step 4: Simplify right side
    332.10x = 135,177.98
  5. Step 5: Solve for x
    x = 135,177.98/332.10
  6. Step 6: Final answer
    x = 407.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.