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Finding the Fourth Proportional to 214.78, 296.36 and 127.48

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Solution

The fourth proportional to 214.78, 296.36 and 127.48 is: 175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.78 : 296.36 = 127.48 : x
  2. Step 2: Convert to fraction form
    214.78/296.36 = 127.48/x
  3. Step 3: Cross multiply
    214.78x = 296.36 × 127.48
  4. Step 4: Simplify right side
    214.78x = 37,779.97
  5. Step 5: Solve for x
    x = 37,779.97/214.78
  6. Step 6: Final answer
    x = 175.90

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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.