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Finding the Fourth Proportional to 151.18, 209.60 and 146.12

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Solution

The fourth proportional to 151.18, 209.60 and 146.12 is: 202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.18 : 209.60 = 146.12 : x
  2. Step 2: Convert to fraction form
    151.18/209.60 = 146.12/x
  3. Step 3: Cross multiply
    151.18x = 209.60 × 146.12
  4. Step 4: Simplify right side
    151.18x = 30,626.07
  5. Step 5: Solve for x
    x = 30,626.07/151.18
  6. Step 6: Final answer
    x = 202.58

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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.