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Finding the Fourth Proportional to 151.80, 207.75 and 147.62

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Solution

The fourth proportional to 151.80, 207.75 and 147.62 is: 202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 207.75 = 147.62 : x
  2. Step 2: Convert to fraction form
    151.80/207.75 = 147.62/x
  3. Step 3: Cross multiply
    151.80x = 207.75 × 147.62
  4. Step 4: Simplify right side
    151.80x = 30,667.02
  5. Step 5: Solve for x
    x = 30,667.02/151.80
  6. Step 6: Final answer
    x = 202.02

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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.