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Finding the Fourth Proportional to 407.80, 611.52 and 119.17

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Solution

The fourth proportional to 407.80, 611.52 and 119.17 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.80 : 611.52 = 119.17 : x
  2. Step 2: Convert to fraction form
    407.80/611.52 = 119.17/x
  3. Step 3: Cross multiply
    407.80x = 611.52 × 119.17
  4. Step 4: Simplify right side
    407.80x = 72,874.84
  5. Step 5: Solve for x
    x = 72,874.84/407.80
  6. Step 6: Final answer
    x = 178.70

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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.