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Finding the Fourth Proportional to 173.11, 258.57 and 145.77

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Solution

The fourth proportional to 173.11, 258.57 and 145.77 is: 217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.11 : 258.57 = 145.77 : x
  2. Step 2: Convert to fraction form
    173.11/258.57 = 145.77/x
  3. Step 3: Cross multiply
    173.11x = 258.57 × 145.77
  4. Step 4: Simplify right side
    173.11x = 37,691.02
  5. Step 5: Solve for x
    x = 37,691.02/173.11
  6. Step 6: Final answer
    x = 217.74

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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.