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Finding the Fourth Proportional to 113.04, 169.16 and 78.80

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Solution

The fourth proportional to 113.04, 169.16 and 78.80 is: 117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.04 : 169.16 = 78.80 : x
  2. Step 2: Convert to fraction form
    113.04/169.16 = 78.80/x
  3. Step 3: Cross multiply
    113.04x = 169.16 × 78.80
  4. Step 4: Simplify right side
    113.04x = 13,328.57
  5. Step 5: Solve for x
    x = 13,328.57/113.04
  6. Step 6: Final answer
    x = 117.91

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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.