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Finding the Fourth Proportional to 264.47, 394.34 and 260.42

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Solution

The fourth proportional to 264.47, 394.34 and 260.42 is: 388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.47 : 394.34 = 260.42 : x
  2. Step 2: Convert to fraction form
    264.47/394.34 = 260.42/x
  3. Step 3: Cross multiply
    264.47x = 394.34 × 260.42
  4. Step 4: Simplify right side
    264.47x = 102,690.75
  5. Step 5: Solve for x
    x = 102,690.75/264.47
  6. Step 6: Final answer
    x = 388.30

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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.