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Finding the Fourth Proportional to 478.46, 717.90 and 235.22

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Solution

The fourth proportional to 478.46, 717.90 and 235.22 is: 352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.46 : 717.90 = 235.22 : x
  2. Step 2: Convert to fraction form
    478.46/717.90 = 235.22/x
  3. Step 3: Cross multiply
    478.46x = 717.90 × 235.22
  4. Step 4: Simplify right side
    478.46x = 168,864.44
  5. Step 5: Solve for x
    x = 168,864.44/478.46
  6. Step 6: Final answer
    x = 352.93

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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.