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Finding the Fourth Proportional to 263.98, 394.14 and 247.58

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Solution

The fourth proportional to 263.98, 394.14 and 247.58 is: 369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.98 : 394.14 = 247.58 : x
  2. Step 2: Convert to fraction form
    263.98/394.14 = 247.58/x
  3. Step 3: Cross multiply
    263.98x = 394.14 × 247.58
  4. Step 4: Simplify right side
    263.98x = 97,579.21
  5. Step 5: Solve for x
    x = 97,579.21/263.98
  6. Step 6: Final answer
    x = 369.65

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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.