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Finding the Fourth Proportional to 263.30, 396.95 and 247.64

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Solution

The fourth proportional to 263.30, 396.95 and 247.64 is: 373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.30 : 396.95 = 247.64 : x
  2. Step 2: Convert to fraction form
    263.30/396.95 = 247.64/x
  3. Step 3: Cross multiply
    263.30x = 396.95 × 247.64
  4. Step 4: Simplify right side
    263.30x = 98,297.48
  5. Step 5: Solve for x
    x = 98,297.48/263.30
  6. Step 6: Final answer
    x = 373.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.