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Finding the Fourth Proportional to 172.46, 257.20 and 153.18

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Solution

The fourth proportional to 172.46, 257.20 and 153.18 is: 228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 257.20 = 153.18 : x
  2. Step 2: Convert to fraction form
    172.46/257.20 = 153.18/x
  3. Step 3: Cross multiply
    172.46x = 257.20 × 153.18
  4. Step 4: Simplify right side
    172.46x = 39,397.13
  5. Step 5: Solve for x
    x = 39,397.13/172.46
  6. Step 6: Final answer
    x = 228.44

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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.