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Finding the Fourth Proportional to 256.52, 384.72 and 165.26

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Solution

The fourth proportional to 256.52, 384.72 and 165.26 is: 247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.52 : 384.72 = 165.26 : x
  2. Step 2: Convert to fraction form
    256.52/384.72 = 165.26/x
  3. Step 3: Cross multiply
    256.52x = 384.72 × 165.26
  4. Step 4: Simplify right side
    256.52x = 63,578.83
  5. Step 5: Solve for x
    x = 63,578.83/256.52
  6. Step 6: Final answer
    x = 247.85

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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.