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Finding the Fourth Proportional to 215.26, 296.82 and 149.74

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Solution

The fourth proportional to 215.26, 296.82 and 149.74 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.26 : 296.82 = 149.74 : x
  2. Step 2: Convert to fraction form
    215.26/296.82 = 149.74/x
  3. Step 3: Cross multiply
    215.26x = 296.82 × 149.74
  4. Step 4: Simplify right side
    215.26x = 44,445.83
  5. Step 5: Solve for x
    x = 44,445.83/215.26
  6. Step 6: Final answer
    x = 206.48

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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.