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Finding the Fourth Proportional to 307.66, 461.50 and 99.42

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Solution

The fourth proportional to 307.66, 461.50 and 99.42 is: 149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.66 : 461.50 = 99.42 : x
  2. Step 2: Convert to fraction form
    307.66/461.50 = 99.42/x
  3. Step 3: Cross multiply
    307.66x = 461.50 × 99.42
  4. Step 4: Simplify right side
    307.66x = 45,883.19
  5. Step 5: Solve for x
    x = 45,883.19/307.66
  6. Step 6: Final answer
    x = 149.14

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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.