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Finding the Fourth Proportional to 215.24, 296.97 and 149.00

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Solution

The fourth proportional to 215.24, 296.97 and 149.00 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 296.97 = 149.00 : x
  2. Step 2: Convert to fraction form
    215.24/296.97 = 149.00/x
  3. Step 3: Cross multiply
    215.24x = 296.97 × 149.00
  4. Step 4: Simplify right side
    215.24x = 44,247.05
  5. Step 5: Solve for x
    x = 44,247.05/215.24
  6. Step 6: Final answer
    x = 205.58

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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.