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Finding the Fourth Proportional to 170.04, 256.06 and 122.28

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Solution

The fourth proportional to 170.04, 256.06 and 122.28 is: 184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.04 : 256.06 = 122.28 : x
  2. Step 2: Convert to fraction form
    170.04/256.06 = 122.28/x
  3. Step 3: Cross multiply
    170.04x = 256.06 × 122.28
  4. Step 4: Simplify right side
    170.04x = 31,311.02
  5. Step 5: Solve for x
    x = 31,311.02/170.04
  6. Step 6: Final answer
    x = 184.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.