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Finding the Fourth Proportional to 151.74, 210.67 and 147.29

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Solution

The fourth proportional to 151.74, 210.67 and 147.29 is: 204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.74 : 210.67 = 147.29 : x
  2. Step 2: Convert to fraction form
    151.74/210.67 = 147.29/x
  3. Step 3: Cross multiply
    151.74x = 210.67 × 147.29
  4. Step 4: Simplify right side
    151.74x = 31,028.16
  5. Step 5: Solve for x
    x = 31,028.16/151.74
  6. Step 6: Final answer
    x = 204.48

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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.