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Finding the Fourth Proportional to 306.75, 460.17 and 101.28

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Solution

The fourth proportional to 306.75, 460.17 and 101.28 is: 151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 460.17 = 101.28 : x
  2. Step 2: Convert to fraction form
    306.75/460.17 = 101.28/x
  3. Step 3: Cross multiply
    306.75x = 460.17 × 101.28
  4. Step 4: Simplify right side
    306.75x = 46,606.02
  5. Step 5: Solve for x
    x = 46,606.02/306.75
  6. Step 6: Final answer
    x = 151.93

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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.