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Finding the Fourth Proportional to 407.76, 611.73 and 130.11

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Solution

The fourth proportional to 407.76, 611.73 and 130.11 is: 195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.76 : 611.73 = 130.11 : x
  2. Step 2: Convert to fraction form
    407.76/611.73 = 130.11/x
  3. Step 3: Cross multiply
    407.76x = 611.73 × 130.11
  4. Step 4: Simplify right side
    407.76x = 79,592.19
  5. Step 5: Solve for x
    x = 79,592.19/407.76
  6. Step 6: Final answer
    x = 195.19

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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.