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Finding the Fourth Proportional to 347.44, 521.54 and 210.84

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Solution

The fourth proportional to 347.44, 521.54 and 210.84 is: 316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.44 : 521.54 = 210.84 : x
  2. Step 2: Convert to fraction form
    347.44/521.54 = 210.84/x
  3. Step 3: Cross multiply
    347.44x = 521.54 × 210.84
  4. Step 4: Simplify right side
    347.44x = 109,961.49
  5. Step 5: Solve for x
    x = 109,961.49/347.44
  6. Step 6: Final answer
    x = 316.49

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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.