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Finding the Fourth Proportional to 102.44, 152.70 and 101.23

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Solution

The fourth proportional to 102.44, 152.70 and 101.23 is: 150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.44 : 152.70 = 101.23 : x
  2. Step 2: Convert to fraction form
    102.44/152.70 = 101.23/x
  3. Step 3: Cross multiply
    102.44x = 152.70 × 101.23
  4. Step 4: Simplify right side
    102.44x = 15,457.82
  5. Step 5: Solve for x
    x = 15,457.82/102.44
  6. Step 6: Final answer
    x = 150.90

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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.