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Finding the Fourth Proportional to 319.88, 480 and 127.52

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Solution

The fourth proportional to 319.88, 480 and 127.52 is: 191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 480 = 127.52 : x
  2. Step 2: Convert to fraction form
    319.88/480 = 127.52/x
  3. Step 3: Cross multiply
    319.88x = 480 × 127.52
  4. Step 4: Simplify right side
    319.88x = 61,209.60
  5. Step 5: Solve for x
    x = 61,209.60/319.88
  6. Step 6: Final answer
    x = 191.35

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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.