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Finding the Fourth Proportional to 215.19, 296.87 and 149.72

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Solution

The fourth proportional to 215.19, 296.87 and 149.72 is: 206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.19 : 296.87 = 149.72 : x
  2. Step 2: Convert to fraction form
    215.19/296.87 = 149.72/x
  3. Step 3: Cross multiply
    215.19x = 296.87 × 149.72
  4. Step 4: Simplify right side
    215.19x = 44,445.14
  5. Step 5: Solve for x
    x = 44,445.14/215.19
  6. Step 6: Final answer
    x = 206.54

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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.