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Finding the Fourth Proportional to 409.38, 611.40 and 354.66

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Solution

The fourth proportional to 409.38, 611.40 and 354.66 is: 529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 611.40 = 354.66 : x
  2. Step 2: Convert to fraction form
    409.38/611.40 = 354.66/x
  3. Step 3: Cross multiply
    409.38x = 611.40 × 354.66
  4. Step 4: Simplify right side
    409.38x = 216,839.12
  5. Step 5: Solve for x
    x = 216,839.12/409.38
  6. Step 6: Final answer
    x = 529.68

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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.