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Finding the Fourth Proportional to 257.64, 384.89 and 252.78

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Solution

The fourth proportional to 257.64, 384.89 and 252.78 is: 377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.64 : 384.89 = 252.78 : x
  2. Step 2: Convert to fraction form
    257.64/384.89 = 252.78/x
  3. Step 3: Cross multiply
    257.64x = 384.89 × 252.78
  4. Step 4: Simplify right side
    257.64x = 97,292.49
  5. Step 5: Solve for x
    x = 97,292.49/257.64
  6. Step 6: Final answer
    x = 377.63

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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.