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Finding the Fourth Proportional to 347.52, 520.74 and 219

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Solution

The fourth proportional to 347.52, 520.74 and 219 is: 328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.52 : 520.74 = 219 : x
  2. Step 2: Convert to fraction form
    347.52/520.74 = 219/x
  3. Step 3: Cross multiply
    347.52x = 520.74 × 219
  4. Step 4: Simplify right side
    347.52x = 114,042.06
  5. Step 5: Solve for x
    x = 114,042.06/347.52
  6. Step 6: Final answer
    x = 328.16

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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.