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Finding the Fourth Proportional to 151.40, 209.95 and 146.75

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Solution

The fourth proportional to 151.40, 209.95 and 146.75 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 209.95 = 146.75 : x
  2. Step 2: Convert to fraction form
    151.40/209.95 = 146.75/x
  3. Step 3: Cross multiply
    151.40x = 209.95 × 146.75
  4. Step 4: Simplify right side
    151.40x = 30,808.75
  5. Step 5: Solve for x
    x = 30,808.75/151.40
  6. Step 6: Final answer
    x = 203.49

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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.