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Finding the Fourth Proportional to 257.06, 385.43 and 174.83

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Solution

The fourth proportional to 257.06, 385.43 and 174.83 is: 262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 385.43 = 174.83 : x
  2. Step 2: Convert to fraction form
    257.06/385.43 = 174.83/x
  3. Step 3: Cross multiply
    257.06x = 385.43 × 174.83
  4. Step 4: Simplify right side
    257.06x = 67,381.93
  5. Step 5: Solve for x
    x = 67,381.93/257.06
  6. Step 6: Final answer
    x = 262.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.