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Finding the Fourth Proportional to 341.04, 511.80 and 219

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Solution

The fourth proportional to 341.04, 511.80 and 219 is: 328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.04 : 511.80 = 219 : x
  2. Step 2: Convert to fraction form
    341.04/511.80 = 219/x
  3. Step 3: Cross multiply
    341.04x = 511.80 × 219
  4. Step 4: Simplify right side
    341.04x = 112,084.20
  5. Step 5: Solve for x
    x = 112,084.20/341.04
  6. Step 6: Final answer
    x = 328.65

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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.