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Finding the Fourth Proportional to 456.68, 630.28 and 279.75

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Solution

The fourth proportional to 456.68, 630.28 and 279.75 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 630.28 = 279.75 : x
  2. Step 2: Convert to fraction form
    456.68/630.28 = 279.75/x
  3. Step 3: Cross multiply
    456.68x = 630.28 × 279.75
  4. Step 4: Simplify right side
    456.68x = 176,318.82
  5. Step 5: Solve for x
    x = 176,318.82/456.68
  6. Step 6: Final answer
    x = 386.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.