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Finding the Fourth Proportional to 448.31, 672.24 and 166.78

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Solution

The fourth proportional to 448.31, 672.24 and 166.78 is: 250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.31 : 672.24 = 166.78 : x
  2. Step 2: Convert to fraction form
    448.31/672.24 = 166.78/x
  3. Step 3: Cross multiply
    448.31x = 672.24 × 166.78
  4. Step 4: Simplify right side
    448.31x = 112,116.19
  5. Step 5: Solve for x
    x = 112,116.19/448.31
  6. Step 6: Final answer
    x = 250.09

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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.