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Finding the Fourth Proportional to 456.68, 630.12 and 279.84

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Solution

The fourth proportional to 456.68, 630.12 and 279.84 is: 386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 630.12 = 279.84 : x
  2. Step 2: Convert to fraction form
    456.68/630.12 = 279.84/x
  3. Step 3: Cross multiply
    456.68x = 630.12 × 279.84
  4. Step 4: Simplify right side
    456.68x = 176,332.78
  5. Step 5: Solve for x
    x = 176,332.78/456.68
  6. Step 6: Final answer
    x = 386.12

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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.