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Finding the Fourth Proportional to 442.17, 663.21 and 117.57

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Solution

The fourth proportional to 442.17, 663.21 and 117.57 is: 176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.17 : 663.21 = 117.57 : x
  2. Step 2: Convert to fraction form
    442.17/663.21 = 117.57/x
  3. Step 3: Cross multiply
    442.17x = 663.21 × 117.57
  4. Step 4: Simplify right side
    442.17x = 77,973.60
  5. Step 5: Solve for x
    x = 77,973.60/442.17
  6. Step 6: Final answer
    x = 176.34

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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.