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Finding the Fourth Proportional to 151.29, 207.35 and 146.66

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Solution

The fourth proportional to 151.29, 207.35 and 146.66 is: 200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.29 : 207.35 = 146.66 : x
  2. Step 2: Convert to fraction form
    151.29/207.35 = 146.66/x
  3. Step 3: Cross multiply
    151.29x = 207.35 × 146.66
  4. Step 4: Simplify right side
    151.29x = 30,408.18
  5. Step 5: Solve for x
    x = 30,408.18/151.29
  6. Step 6: Final answer
    x = 200.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.