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Finding the Fourth Proportional to 424.81, 637.23 and 132.51

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Solution

The fourth proportional to 424.81, 637.23 and 132.51 is: 198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.81 : 637.23 = 132.51 : x
  2. Step 2: Convert to fraction form
    424.81/637.23 = 132.51/x
  3. Step 3: Cross multiply
    424.81x = 637.23 × 132.51
  4. Step 4: Simplify right side
    424.81x = 84,438.65
  5. Step 5: Solve for x
    x = 84,438.65/424.81
  6. Step 6: Final answer
    x = 198.77

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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.