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Finding the Fourth Proportional to 319.68, 479.43 and 157.05

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Solution

The fourth proportional to 319.68, 479.43 and 157.05 is: 235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 479.43 = 157.05 : x
  2. Step 2: Convert to fraction form
    319.68/479.43 = 157.05/x
  3. Step 3: Cross multiply
    319.68x = 479.43 × 157.05
  4. Step 4: Simplify right side
    319.68x = 75,294.48
  5. Step 5: Solve for x
    x = 75,294.48/319.68
  6. Step 6: Final answer
    x = 235.53

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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.