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Finding the Fourth Proportional to 307.46, 461.19 and 91.20

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Solution

The fourth proportional to 307.46, 461.19 and 91.20 is: 136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.46 : 461.19 = 91.20 : x
  2. Step 2: Convert to fraction form
    307.46/461.19 = 91.20/x
  3. Step 3: Cross multiply
    307.46x = 461.19 × 91.20
  4. Step 4: Simplify right side
    307.46x = 42,060.53
  5. Step 5: Solve for x
    x = 42,060.53/307.46
  6. Step 6: Final answer
    x = 136.80

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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.