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Finding the Fourth Proportional to 113.84, 170.02 and 101.60

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Solution

The fourth proportional to 113.84, 170.02 and 101.60 is: 151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.84 : 170.02 = 101.60 : x
  2. Step 2: Convert to fraction form
    113.84/170.02 = 101.60/x
  3. Step 3: Cross multiply
    113.84x = 170.02 × 101.60
  4. Step 4: Simplify right side
    113.84x = 17,274.03
  5. Step 5: Solve for x
    x = 17,274.03/113.84
  6. Step 6: Final answer
    x = 151.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.