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Finding the Fourth Proportional to 478.30, 716.70 and 261.22

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Solution

The fourth proportional to 478.30, 716.70 and 261.22 is: 391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.30 : 716.70 = 261.22 : x
  2. Step 2: Convert to fraction form
    478.30/716.70 = 261.22/x
  3. Step 3: Cross multiply
    478.30x = 716.70 × 261.22
  4. Step 4: Simplify right side
    478.30x = 187,216.37
  5. Step 5: Solve for x
    x = 187,216.37/478.30
  6. Step 6: Final answer
    x = 391.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.