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Finding the Fourth Proportional to 265.81, 396.47 and 257.71

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Solution

The fourth proportional to 265.81, 396.47 and 257.71 is: 384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.81 : 396.47 = 257.71 : x
  2. Step 2: Convert to fraction form
    265.81/396.47 = 257.71/x
  3. Step 3: Cross multiply
    265.81x = 396.47 × 257.71
  4. Step 4: Simplify right side
    265.81x = 102,174.28
  5. Step 5: Solve for x
    x = 102,174.28/265.81
  6. Step 6: Final answer
    x = 384.39

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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.