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Finding the Fourth Proportional to 170.40, 254.64 and 122.40

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Solution

The fourth proportional to 170.40, 254.64 and 122.40 is: 182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.40 : 254.64 = 122.40 : x
  2. Step 2: Convert to fraction form
    170.40/254.64 = 122.40/x
  3. Step 3: Cross multiply
    170.40x = 254.64 × 122.40
  4. Step 4: Simplify right side
    170.40x = 31,167.94
  5. Step 5: Solve for x
    x = 31,167.94/170.40
  6. Step 6: Final answer
    x = 182.91

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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.