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Finding the Fourth Proportional to 263.24, 392.72 and 253.78

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Solution

The fourth proportional to 263.24, 392.72 and 253.78 is: 378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.24 : 392.72 = 253.78 : x
  2. Step 2: Convert to fraction form
    263.24/392.72 = 253.78/x
  3. Step 3: Cross multiply
    263.24x = 392.72 × 253.78
  4. Step 4: Simplify right side
    263.24x = 99,666.58
  5. Step 5: Solve for x
    x = 99,666.58/263.24
  6. Step 6: Final answer
    x = 378.61

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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.