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Finding the Fourth Proportional to 215.10, 296.82 and 127.76

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Solution

The fourth proportional to 215.10, 296.82 and 127.76 is: 176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.10 : 296.82 = 127.76 : x
  2. Step 2: Convert to fraction form
    215.10/296.82 = 127.76/x
  3. Step 3: Cross multiply
    215.10x = 296.82 × 127.76
  4. Step 4: Simplify right side
    215.10x = 37,921.72
  5. Step 5: Solve for x
    x = 37,921.72/215.10
  6. Step 6: Final answer
    x = 176.30

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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.