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Finding the Fourth Proportional to 172.30, 257.02 and 153.27

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Solution

The fourth proportional to 172.30, 257.02 and 153.27 is: 228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.30 : 257.02 = 153.27 : x
  2. Step 2: Convert to fraction form
    172.30/257.02 = 153.27/x
  3. Step 3: Cross multiply
    172.30x = 257.02 × 153.27
  4. Step 4: Simplify right side
    172.30x = 39,393.46
  5. Step 5: Solve for x
    x = 39,393.46/172.30
  6. Step 6: Final answer
    x = 228.63

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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.