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Finding the Fourth Proportional to 257.01, 385.43 and 215.89

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Solution

The fourth proportional to 257.01, 385.43 and 215.89 is: 323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.01 : 385.43 = 215.89 : x
  2. Step 2: Convert to fraction form
    257.01/385.43 = 215.89/x
  3. Step 3: Cross multiply
    257.01x = 385.43 × 215.89
  4. Step 4: Simplify right side
    257.01x = 83,211.35
  5. Step 5: Solve for x
    x = 83,211.35/257.01
  6. Step 6: Final answer
    x = 323.77

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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.