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Finding the Fourth Proportional to 319.45, 478.87 and 156.96

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Solution

The fourth proportional to 319.45, 478.87 and 156.96 is: 235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.45 : 478.87 = 156.96 : x
  2. Step 2: Convert to fraction form
    319.45/478.87 = 156.96/x
  3. Step 3: Cross multiply
    319.45x = 478.87 × 156.96
  4. Step 4: Simplify right side
    319.45x = 75,160.26
  5. Step 5: Solve for x
    x = 75,160.26/319.45
  6. Step 6: Final answer
    x = 235.28

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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.