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Finding the Fourth Proportional to 151.88, 208.99 and 147.33

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Solution

The fourth proportional to 151.88, 208.99 and 147.33 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.88 : 208.99 = 147.33 : x
  2. Step 2: Convert to fraction form
    151.88/208.99 = 147.33/x
  3. Step 3: Cross multiply
    151.88x = 208.99 × 147.33
  4. Step 4: Simplify right side
    151.88x = 30,788.72
  5. Step 5: Solve for x
    x = 30,788.72/151.88
  6. Step 6: Final answer
    x = 202.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.