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Finding the Fourth Proportional to 341.80, 511.68 and 219.64

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Solution

The fourth proportional to 341.80, 511.68 and 219.64 is: 328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.80 : 511.68 = 219.64 : x
  2. Step 2: Convert to fraction form
    341.80/511.68 = 219.64/x
  3. Step 3: Cross multiply
    341.80x = 511.68 × 219.64
  4. Step 4: Simplify right side
    341.80x = 112,385.40
  5. Step 5: Solve for x
    x = 112,385.40/341.80
  6. Step 6: Final answer
    x = 328.80

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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.