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Finding the Fourth Proportional to 412.40, 615.98 and 354.78

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Solution

The fourth proportional to 412.40, 615.98 and 354.78 is: 529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.40 : 615.98 = 354.78 : x
  2. Step 2: Convert to fraction form
    412.40/615.98 = 354.78/x
  3. Step 3: Cross multiply
    412.40x = 615.98 × 354.78
  4. Step 4: Simplify right side
    412.40x = 218,537.38
  5. Step 5: Solve for x
    x = 218,537.38/412.40
  6. Step 6: Final answer
    x = 529.92

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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.