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Finding the Fourth Proportional to 406.61, 609.87 and 159.81

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Solution

The fourth proportional to 406.61, 609.87 and 159.81 is: 239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.61 : 609.87 = 159.81 : x
  2. Step 2: Convert to fraction form
    406.61/609.87 = 159.81/x
  3. Step 3: Cross multiply
    406.61x = 609.87 × 159.81
  4. Step 4: Simplify right side
    406.61x = 97,463.32
  5. Step 5: Solve for x
    x = 97,463.32/406.61
  6. Step 6: Final answer
    x = 239.70

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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.