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Finding the Fourth Proportional to 347.84, 519.21 and 322.14

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Solution

The fourth proportional to 347.84, 519.21 and 322.14 is: 480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 519.21 = 322.14 : x
  2. Step 2: Convert to fraction form
    347.84/519.21 = 322.14/x
  3. Step 3: Cross multiply
    347.84x = 519.21 × 322.14
  4. Step 4: Simplify right side
    347.84x = 167,259.52
  5. Step 5: Solve for x
    x = 167,259.52/347.84
  6. Step 6: Final answer
    x = 480.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.