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Finding the Fourth Proportional to 263.68, 393.12 and 260.48

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Solution

The fourth proportional to 263.68, 393.12 and 260.48 is: 388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.68 : 393.12 = 260.48 : x
  2. Step 2: Convert to fraction form
    263.68/393.12 = 260.48/x
  3. Step 3: Cross multiply
    263.68x = 393.12 × 260.48
  4. Step 4: Simplify right side
    263.68x = 102,399.90
  5. Step 5: Solve for x
    x = 102,399.90/263.68
  6. Step 6: Final answer
    x = 388.35

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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.