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Finding the Fourth Proportional to 410.72, 615.20 and 364.56

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Solution

The fourth proportional to 410.72, 615.20 and 364.56 is: 546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.72 : 615.20 = 364.56 : x
  2. Step 2: Convert to fraction form
    410.72/615.20 = 364.56/x
  3. Step 3: Cross multiply
    410.72x = 615.20 × 364.56
  4. Step 4: Simplify right side
    410.72x = 224,277.31
  5. Step 5: Solve for x
    x = 224,277.31/410.72
  6. Step 6: Final answer
    x = 546.06

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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.