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Finding the Fourth Proportional to 265.56, 396.10 and 257.46

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Solution

The fourth proportional to 265.56, 396.10 and 257.46 is: 384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.56 : 396.10 = 257.46 : x
  2. Step 2: Convert to fraction form
    265.56/396.10 = 257.46/x
  3. Step 3: Cross multiply
    265.56x = 396.10 × 257.46
  4. Step 4: Simplify right side
    265.56x = 101,979.91
  5. Step 5: Solve for x
    x = 101,979.91/265.56
  6. Step 6: Final answer
    x = 384.02

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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.