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Finding the Fourth Proportional to 448.13, 672.10 and 159.57

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Solution

The fourth proportional to 448.13, 672.10 and 159.57 is: 239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.13 : 672.10 = 159.57 : x
  2. Step 2: Convert to fraction form
    448.13/672.10 = 159.57/x
  3. Step 3: Cross multiply
    448.13x = 672.10 × 159.57
  4. Step 4: Simplify right side
    448.13x = 107,246.60
  5. Step 5: Solve for x
    x = 107,246.60/448.13
  6. Step 6: Final answer
    x = 239.32

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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.