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Finding the Fourth Proportional to 263.09, 392.70 and 235.74

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Solution

The fourth proportional to 263.09, 392.70 and 235.74 is: 351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.09 : 392.70 = 235.74 : x
  2. Step 2: Convert to fraction form
    263.09/392.70 = 235.74/x
  3. Step 3: Cross multiply
    263.09x = 392.70 × 235.74
  4. Step 4: Simplify right side
    263.09x = 92,575.10
  5. Step 5: Solve for x
    x = 92,575.10/263.09
  6. Step 6: Final answer
    x = 351.88

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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.