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Finding the Fourth Proportional to 127.17, 189.77 and 114.20

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Solution

The fourth proportional to 127.17, 189.77 and 114.20 is: 170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.17 : 189.77 = 114.20 : x
  2. Step 2: Convert to fraction form
    127.17/189.77 = 114.20/x
  3. Step 3: Cross multiply
    127.17x = 189.77 × 114.20
  4. Step 4: Simplify right side
    127.17x = 21,670.21
  5. Step 5: Solve for x
    x = 21,670.21/127.17
  6. Step 6: Final answer
    x = 170.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.