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Finding the Fourth Proportional to 263.66, 393.86 and 252.72

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Solution

The fourth proportional to 263.66, 393.86 and 252.72 is: 377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.66 : 393.86 = 252.72 : x
  2. Step 2: Convert to fraction form
    263.66/393.86 = 252.72/x
  3. Step 3: Cross multiply
    263.66x = 393.86 × 252.72
  4. Step 4: Simplify right side
    263.66x = 99,536.93
  5. Step 5: Solve for x
    x = 99,536.93/263.66
  6. Step 6: Final answer
    x = 377.53

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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.