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Finding the Fourth Proportional to 122.01, 182.15 and 117.74

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Solution

The fourth proportional to 122.01, 182.15 and 117.74 is: 175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.01 : 182.15 = 117.74 : x
  2. Step 2: Convert to fraction form
    122.01/182.15 = 117.74/x
  3. Step 3: Cross multiply
    122.01x = 182.15 × 117.74
  4. Step 4: Simplify right side
    122.01x = 21,445.75
  5. Step 5: Solve for x
    x = 21,445.75/122.01
  6. Step 6: Final answer
    x = 175.77

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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.