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Finding the Fourth Proportional to 122.48, 182.86 and 118.16

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Solution

The fourth proportional to 122.48, 182.86 and 118.16 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.48 : 182.86 = 118.16 : x
  2. Step 2: Convert to fraction form
    122.48/182.86 = 118.16/x
  3. Step 3: Cross multiply
    122.48x = 182.86 × 118.16
  4. Step 4: Simplify right side
    122.48x = 21,606.74
  5. Step 5: Solve for x
    x = 21,606.74/122.48
  6. Step 6: Final answer
    x = 176.41

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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.