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Finding the Fourth Proportional to 412.36, 615.52 and 363.76

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Solution

The fourth proportional to 412.36, 615.52 and 363.76 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 615.52 = 363.76 : x
  2. Step 2: Convert to fraction form
    412.36/615.52 = 363.76/x
  3. Step 3: Cross multiply
    412.36x = 615.52 × 363.76
  4. Step 4: Simplify right side
    412.36x = 223,901.56
  5. Step 5: Solve for x
    x = 223,901.56/412.36
  6. Step 6: Final answer
    x = 542.98

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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.