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Finding the Fourth Proportional to 127.65, 176.93 and 115.50

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Solution

The fourth proportional to 127.65, 176.93 and 115.50 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.65 : 176.93 = 115.50 : x
  2. Step 2: Convert to fraction form
    127.65/176.93 = 115.50/x
  3. Step 3: Cross multiply
    127.65x = 176.93 × 115.50
  4. Step 4: Simplify right side
    127.65x = 20,434.84
  5. Step 5: Solve for x
    x = 20,434.84/127.65
  6. Step 6: Final answer
    x = 160.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.