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Finding the Fourth Proportional to 113.55, 156.49 and 98.07

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Solution

The fourth proportional to 113.55, 156.49 and 98.07 is: 135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.55 : 156.49 = 98.07 : x
  2. Step 2: Convert to fraction form
    113.55/156.49 = 98.07/x
  3. Step 3: Cross multiply
    113.55x = 156.49 × 98.07
  4. Step 4: Simplify right side
    113.55x = 15,346.97
  5. Step 5: Solve for x
    x = 15,346.97/113.55
  6. Step 6: Final answer
    x = 135.16

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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.