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Finding the Fourth Proportional to 406.79, 610.28 and 118.22

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Solution

The fourth proportional to 406.79, 610.28 and 118.22 is: 177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.79 : 610.28 = 118.22 : x
  2. Step 2: Convert to fraction form
    406.79/610.28 = 118.22/x
  3. Step 3: Cross multiply
    406.79x = 610.28 × 118.22
  4. Step 4: Simplify right side
    406.79x = 72,143.66
  5. Step 5: Solve for x
    x = 72,143.66/406.79
  6. Step 6: Final answer
    x = 177.35

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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.