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Finding the Fourth Proportional to 122.79, 182.74 and 118.47

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Solution

The fourth proportional to 122.79, 182.74 and 118.47 is: 176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.79 : 182.74 = 118.47 : x
  2. Step 2: Convert to fraction form
    122.79/182.74 = 118.47/x
  3. Step 3: Cross multiply
    122.79x = 182.74 × 118.47
  4. Step 4: Simplify right side
    122.79x = 21,649.21
  5. Step 5: Solve for x
    x = 21,649.21/122.79
  6. Step 6: Final answer
    x = 176.31

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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.