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Finding the Fourth Proportional to 172.26, 256.95 and 146.52

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Solution

The fourth proportional to 172.26, 256.95 and 146.52 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.26 : 256.95 = 146.52 : x
  2. Step 2: Convert to fraction form
    172.26/256.95 = 146.52/x
  3. Step 3: Cross multiply
    172.26x = 256.95 × 146.52
  4. Step 4: Simplify right side
    172.26x = 37,648.31
  5. Step 5: Solve for x
    x = 37,648.31/172.26
  6. Step 6: Final answer
    x = 218.56

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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.