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Finding the Fourth Proportional to 347.84, 522.72 and 326.72

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Solution

The fourth proportional to 347.84, 522.72 and 326.72 is: 490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 522.72 = 326.72 : x
  2. Step 2: Convert to fraction form
    347.84/522.72 = 326.72/x
  3. Step 3: Cross multiply
    347.84x = 522.72 × 326.72
  4. Step 4: Simplify right side
    347.84x = 170,783.08
  5. Step 5: Solve for x
    x = 170,783.08/347.84
  6. Step 6: Final answer
    x = 490.98

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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.