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Finding the Fourth Proportional to 319.90, 480 and 157.72

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Solution

The fourth proportional to 319.90, 480 and 157.72 is: 236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.90 : 480 = 157.72 : x
  2. Step 2: Convert to fraction form
    319.90/480 = 157.72/x
  3. Step 3: Cross multiply
    319.90x = 480 × 157.72
  4. Step 4: Simplify right side
    319.90x = 75,705.60
  5. Step 5: Solve for x
    x = 75,705.60/319.90
  6. Step 6: Final answer
    x = 236.65

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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.