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Finding the Fourth Proportional to 219, 328.32 and 127.60

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Solution

The fourth proportional to 219, 328.32 and 127.60 is: 191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219 : 328.32 = 127.60 : x
  2. Step 2: Convert to fraction form
    219/328.32 = 127.60/x
  3. Step 3: Cross multiply
    219x = 328.32 × 127.60
  4. Step 4: Simplify right side
    219x = 41,893.63
  5. Step 5: Solve for x
    x = 41,893.63/219
  6. Step 6: Final answer
    x = 191.30

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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.