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Finding the Fourth Proportional to 478.46, 718.30 and 262.19

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Solution

The fourth proportional to 478.46, 718.30 and 262.19 is: 393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.46 : 718.30 = 262.19 : x
  2. Step 2: Convert to fraction form
    478.46/718.30 = 262.19/x
  3. Step 3: Cross multiply
    478.46x = 718.30 × 262.19
  4. Step 4: Simplify right side
    478.46x = 188,331.08
  5. Step 5: Solve for x
    x = 188,331.08/478.46
  6. Step 6: Final answer
    x = 393.62

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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.