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Finding the Fourth Proportional to 407.82, 611.71 and 147.70

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Solution

The fourth proportional to 407.82, 611.71 and 147.70 is: 221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.82 : 611.71 = 147.70 : x
  2. Step 2: Convert to fraction form
    407.82/611.71 = 147.70/x
  3. Step 3: Cross multiply
    407.82x = 611.71 × 147.70
  4. Step 4: Simplify right side
    407.82x = 90,349.28
  5. Step 5: Solve for x
    x = 90,349.28/407.82
  6. Step 6: Final answer
    x = 221.54

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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.