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Finding the Fourth Proportional to 102.27, 152.18 and 101.93

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Solution

The fourth proportional to 102.27, 152.18 and 101.93 is: 151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.27 : 152.18 = 101.93 : x
  2. Step 2: Convert to fraction form
    102.27/152.18 = 101.93/x
  3. Step 3: Cross multiply
    102.27x = 152.18 × 101.93
  4. Step 4: Simplify right side
    102.27x = 15,510.44
  5. Step 5: Solve for x
    x = 15,510.44/102.27
  6. Step 6: Final answer
    x = 151.67

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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.