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Finding the Fourth Proportional to 420.67, 630.91 and 132.04

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Solution

The fourth proportional to 420.67, 630.91 and 132.04 is: 198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.67 : 630.91 = 132.04 : x
  2. Step 2: Convert to fraction form
    420.67/630.91 = 132.04/x
  3. Step 3: Cross multiply
    420.67x = 630.91 × 132.04
  4. Step 4: Simplify right side
    420.67x = 83,305.36
  5. Step 5: Solve for x
    x = 83,305.36/420.67
  6. Step 6: Final answer
    x = 198.03

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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.