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Finding the Fourth Proportional to 264.90, 394.07 and 257.88

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Solution

The fourth proportional to 264.90, 394.07 and 257.88 is: 383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 394.07 = 257.88 : x
  2. Step 2: Convert to fraction form
    264.90/394.07 = 257.88/x
  3. Step 3: Cross multiply
    264.90x = 394.07 × 257.88
  4. Step 4: Simplify right side
    264.90x = 101,621.48
  5. Step 5: Solve for x
    x = 101,621.48/264.90
  6. Step 6: Final answer
    x = 383.62

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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.