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Finding the Fourth Proportional to 448.31, 672.53 and 140.19

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Solution

The fourth proportional to 448.31, 672.53 and 140.19 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.31 : 672.53 = 140.19 : x
  2. Step 2: Convert to fraction form
    448.31/672.53 = 140.19/x
  3. Step 3: Cross multiply
    448.31x = 672.53 × 140.19
  4. Step 4: Simplify right side
    448.31x = 94,281.98
  5. Step 5: Solve for x
    x = 94,281.98/448.31
  6. Step 6: Final answer
    x = 210.31

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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.