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Finding the Fourth Proportional to 198.48, 297.90 and 117.30

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Solution

The fourth proportional to 198.48, 297.90 and 117.30 is: 176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.48 : 297.90 = 117.30 : x
  2. Step 2: Convert to fraction form
    198.48/297.90 = 117.30/x
  3. Step 3: Cross multiply
    198.48x = 297.90 × 117.30
  4. Step 4: Simplify right side
    198.48x = 34,943.67
  5. Step 5: Solve for x
    x = 34,943.67/198.48
  6. Step 6: Final answer
    x = 176.06

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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.