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Finding the Fourth Proportional to 478.12, 716.36 and 261.04

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Solution

The fourth proportional to 478.12, 716.36 and 261.04 is: 391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.12 : 716.36 = 261.04 : x
  2. Step 2: Convert to fraction form
    478.12/716.36 = 261.04/x
  3. Step 3: Cross multiply
    478.12x = 716.36 × 261.04
  4. Step 4: Simplify right side
    478.12x = 186,998.61
  5. Step 5: Solve for x
    x = 186,998.61/478.12
  6. Step 6: Final answer
    x = 391.11

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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.