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Finding the Fourth Proportional to 151.08, 209.45 and 148.10

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Solution

The fourth proportional to 151.08, 209.45 and 148.10 is: 205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.08 : 209.45 = 148.10 : x
  2. Step 2: Convert to fraction form
    151.08/209.45 = 148.10/x
  3. Step 3: Cross multiply
    151.08x = 209.45 × 148.10
  4. Step 4: Simplify right side
    151.08x = 31,019.55
  5. Step 5: Solve for x
    x = 31,019.55/151.08
  6. Step 6: Final answer
    x = 205.32

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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.