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Finding the Fourth Proportional to 172.68, 257.66 and 153.09

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Solution

The fourth proportional to 172.68, 257.66 and 153.09 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.68 : 257.66 = 153.09 : x
  2. Step 2: Convert to fraction form
    172.68/257.66 = 153.09/x
  3. Step 3: Cross multiply
    172.68x = 257.66 × 153.09
  4. Step 4: Simplify right side
    172.68x = 39,444.55
  5. Step 5: Solve for x
    x = 39,444.55/172.68
  6. Step 6: Final answer
    x = 228.42

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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.