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Finding the Fourth Proportional to 410.78, 566.94 and 263.48

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Solution

The fourth proportional to 410.78, 566.94 and 263.48 is: 363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 566.94 = 263.48 : x
  2. Step 2: Convert to fraction form
    410.78/566.94 = 263.48/x
  3. Step 3: Cross multiply
    410.78x = 566.94 × 263.48
  4. Step 4: Simplify right side
    410.78x = 149,377.35
  5. Step 5: Solve for x
    x = 149,377.35/410.78
  6. Step 6: Final answer
    x = 363.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.