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Finding the Fourth Proportional to 151.46, 210.38 and 147.14

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Solution

The fourth proportional to 151.46, 210.38 and 147.14 is: 204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.46 : 210.38 = 147.14 : x
  2. Step 2: Convert to fraction form
    151.46/210.38 = 147.14/x
  3. Step 3: Cross multiply
    151.46x = 210.38 × 147.14
  4. Step 4: Simplify right side
    151.46x = 30,954.63
  5. Step 5: Solve for x
    x = 30,954.63/151.46
  6. Step 6: Final answer
    x = 204.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.