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Finding the Fourth Proportional to 319.73, 478.67 and 237.30

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Solution

The fourth proportional to 319.73, 478.67 and 237.30 is: 355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.73 : 478.67 = 237.30 : x
  2. Step 2: Convert to fraction form
    319.73/478.67 = 237.30/x
  3. Step 3: Cross multiply
    319.73x = 478.67 × 237.30
  4. Step 4: Simplify right side
    319.73x = 113,587.20
  5. Step 5: Solve for x
    x = 113,587.20/319.73
  6. Step 6: Final answer
    x = 355.27

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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.