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Finding the Fourth Proportional to 151.19, 206.80 and 148.80

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Solution

The fourth proportional to 151.19, 206.80 and 148.80 is: 203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.19 : 206.80 = 148.80 : x
  2. Step 2: Convert to fraction form
    151.19/206.80 = 148.80/x
  3. Step 3: Cross multiply
    151.19x = 206.80 × 148.80
  4. Step 4: Simplify right side
    151.19x = 30,772.24
  5. Step 5: Solve for x
    x = 30,772.24/151.19
  6. Step 6: Final answer
    x = 203.54

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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.