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Finding the Fourth Proportional to 407.22, 610.74 and 118.62

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Solution

The fourth proportional to 407.22, 610.74 and 118.62 is: 177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.22 : 610.74 = 118.62 : x
  2. Step 2: Convert to fraction form
    407.22/610.74 = 118.62/x
  3. Step 3: Cross multiply
    407.22x = 610.74 × 118.62
  4. Step 4: Simplify right side
    407.22x = 72,445.98
  5. Step 5: Solve for x
    x = 72,445.98/407.22
  6. Step 6: Final answer
    x = 177.90

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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.