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Finding the Fourth Proportional to 172.61, 257.82 and 145.27

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Solution

The fourth proportional to 172.61, 257.82 and 145.27 is: 216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.61 : 257.82 = 145.27 : x
  2. Step 2: Convert to fraction form
    172.61/257.82 = 145.27/x
  3. Step 3: Cross multiply
    172.61x = 257.82 × 145.27
  4. Step 4: Simplify right side
    172.61x = 37,452.87
  5. Step 5: Solve for x
    x = 37,452.87/172.61
  6. Step 6: Final answer
    x = 216.99

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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.