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Finding the Fourth Proportional to 214.99, 296.76 and 127.66

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Solution

The fourth proportional to 214.99, 296.76 and 127.66 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.99 : 296.76 = 127.66 : x
  2. Step 2: Convert to fraction form
    214.99/296.76 = 127.66/x
  3. Step 3: Cross multiply
    214.99x = 296.76 × 127.66
  4. Step 4: Simplify right side
    214.99x = 37,884.38
  5. Step 5: Solve for x
    x = 37,884.38/214.99
  6. Step 6: Final answer
    x = 176.21

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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.