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Finding the Fourth Proportional to 214.47, 295.94 and 127.13

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Solution

The fourth proportional to 214.47, 295.94 and 127.13 is: 175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.47 : 295.94 = 127.13 : x
  2. Step 2: Convert to fraction form
    214.47/295.94 = 127.13/x
  3. Step 3: Cross multiply
    214.47x = 295.94 × 127.13
  4. Step 4: Simplify right side
    214.47x = 37,621.69
  5. Step 5: Solve for x
    x = 37,621.69/214.47
  6. Step 6: Final answer
    x = 175.42

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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.