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Finding the Fourth Proportional to 322.47, 483.78 and 106.08

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Solution

The fourth proportional to 322.47, 483.78 and 106.08 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.47 : 483.78 = 106.08 : x
  2. Step 2: Convert to fraction form
    322.47/483.78 = 106.08/x
  3. Step 3: Cross multiply
    322.47x = 483.78 × 106.08
  4. Step 4: Simplify right side
    322.47x = 51,319.38
  5. Step 5: Solve for x
    x = 51,319.38/322.47
  6. Step 6: Final answer
    x = 159.14

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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.