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Finding the Fourth Proportional to 307.97, 461.55 and 145.32

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Solution

The fourth proportional to 307.97, 461.55 and 145.32 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.97 : 461.55 = 145.32 : x
  2. Step 2: Convert to fraction form
    307.97/461.55 = 145.32/x
  3. Step 3: Cross multiply
    307.97x = 461.55 × 145.32
  4. Step 4: Simplify right side
    307.97x = 67,071.26
  5. Step 5: Solve for x
    x = 67,071.26/307.97
  6. Step 6: Final answer
    x = 217.78

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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.