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Finding the Fourth Proportional to 170.24, 254.76 and 146.16

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Solution

The fourth proportional to 170.24, 254.76 and 146.16 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 254.76 = 146.16 : x
  2. Step 2: Convert to fraction form
    170.24/254.76 = 146.16/x
  3. Step 3: Cross multiply
    170.24x = 254.76 × 146.16
  4. Step 4: Simplify right side
    170.24x = 37,235.72
  5. Step 5: Solve for x
    x = 37,235.72/170.24
  6. Step 6: Final answer
    x = 218.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.