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Finding the Fourth Proportional to 113.80, 156.66 and 98.46

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Solution

The fourth proportional to 113.80, 156.66 and 98.46 is: 135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.80 : 156.66 = 98.46 : x
  2. Step 2: Convert to fraction form
    113.80/156.66 = 98.46/x
  3. Step 3: Cross multiply
    113.80x = 156.66 × 98.46
  4. Step 4: Simplify right side
    113.80x = 15,424.74
  5. Step 5: Solve for x
    x = 15,424.74/113.80
  6. Step 6: Final answer
    x = 135.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.