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Finding the Fourth Proportional to 307.34, 461.24 and 145.14

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Solution

The fourth proportional to 307.34, 461.24 and 145.14 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.34 : 461.24 = 145.14 : x
  2. Step 2: Convert to fraction form
    307.34/461.24 = 145.14/x
  3. Step 3: Cross multiply
    307.34x = 461.24 × 145.14
  4. Step 4: Simplify right side
    307.34x = 66,945.87
  5. Step 5: Solve for x
    x = 66,945.87/307.34
  6. Step 6: Final answer
    x = 217.82

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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.