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Finding the Fourth Proportional to 263.96, 393.12 and 260.84

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Solution

The fourth proportional to 263.96, 393.12 and 260.84 is: 388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.96 : 393.12 = 260.84 : x
  2. Step 2: Convert to fraction form
    263.96/393.12 = 260.84/x
  3. Step 3: Cross multiply
    263.96x = 393.12 × 260.84
  4. Step 4: Simplify right side
    263.96x = 102,541.42
  5. Step 5: Solve for x
    x = 102,541.42/263.96
  6. Step 6: Final answer
    x = 388.47

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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.