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Finding the Fourth Proportional to 448.20, 672.36 and 140.08

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Solution

The fourth proportional to 448.20, 672.36 and 140.08 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.20 : 672.36 = 140.08 : x
  2. Step 2: Convert to fraction form
    448.20/672.36 = 140.08/x
  3. Step 3: Cross multiply
    448.20x = 672.36 × 140.08
  4. Step 4: Simplify right side
    448.20x = 94,184.19
  5. Step 5: Solve for x
    x = 94,184.19/448.20
  6. Step 6: Final answer
    x = 210.14

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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.