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Finding the Fourth Proportional to 442, 663.03 and 117.36

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Solution

The fourth proportional to 442, 663.03 and 117.36 is: 176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 663.03 = 117.36 : x
  2. Step 2: Convert to fraction form
    442/663.03 = 117.36/x
  3. Step 3: Cross multiply
    442x = 663.03 × 117.36
  4. Step 4: Simplify right side
    442x = 77,812.91
  5. Step 5: Solve for x
    x = 77,812.91/442
  6. Step 6: Final answer
    x = 176.05

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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.