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Finding the Fourth Proportional to 256.55, 385.09 and 165.02

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Solution

The fourth proportional to 256.55, 385.09 and 165.02 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.55 : 385.09 = 165.02 : x
  2. Step 2: Convert to fraction form
    256.55/385.09 = 165.02/x
  3. Step 3: Cross multiply
    256.55x = 385.09 × 165.02
  4. Step 4: Simplify right side
    256.55x = 63,545.21
  5. Step 5: Solve for x
    x = 63,545.21/256.55
  6. Step 6: Final answer
    x = 247.70

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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.