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Finding the Fourth Proportional to 122.80, 182.93 and 117.30

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Solution

The fourth proportional to 122.80, 182.93 and 117.30 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.80 : 182.93 = 117.30 : x
  2. Step 2: Convert to fraction form
    122.80/182.93 = 117.30/x
  3. Step 3: Cross multiply
    122.80x = 182.93 × 117.30
  4. Step 4: Simplify right side
    122.80x = 21,457.69
  5. Step 5: Solve for x
    x = 21,457.69/122.80
  6. Step 6: Final answer
    x = 174.74

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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.