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Finding the Fourth Proportional to 409.40, 611.42 and 354.68

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Solution

The fourth proportional to 409.40, 611.42 and 354.68 is: 529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.40 : 611.42 = 354.68 : x
  2. Step 2: Convert to fraction form
    409.40/611.42 = 354.68/x
  3. Step 3: Cross multiply
    409.40x = 611.42 × 354.68
  4. Step 4: Simplify right side
    409.40x = 216,858.45
  5. Step 5: Solve for x
    x = 216,858.45/409.40
  6. Step 6: Final answer
    x = 529.70

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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.