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Finding the Fourth Proportional to 215.02, 296.70 and 132.13

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Solution

The fourth proportional to 215.02, 296.70 and 132.13 is: 182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.02 : 296.70 = 132.13 : x
  2. Step 2: Convert to fraction form
    215.02/296.70 = 132.13/x
  3. Step 3: Cross multiply
    215.02x = 296.70 × 132.13
  4. Step 4: Simplify right side
    215.02x = 39,202.85
  5. Step 5: Solve for x
    x = 39,202.85/215.02
  6. Step 6: Final answer
    x = 182.32

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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.