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Finding the Fourth Proportional to 172.54, 257.27 and 153.46

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Solution

The fourth proportional to 172.54, 257.27 and 153.46 is: 228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.54 : 257.27 = 153.46 : x
  2. Step 2: Convert to fraction form
    172.54/257.27 = 153.46/x
  3. Step 3: Cross multiply
    172.54x = 257.27 × 153.46
  4. Step 4: Simplify right side
    172.54x = 39,480.65
  5. Step 5: Solve for x
    x = 39,480.65/172.54
  6. Step 6: Final answer
    x = 228.82

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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.