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Finding the Fourth Proportional to 347.07, 520.75 and 210.22

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Solution

The fourth proportional to 347.07, 520.75 and 210.22 is: 315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.07 : 520.75 = 210.22 : x
  2. Step 2: Convert to fraction form
    347.07/520.75 = 210.22/x
  3. Step 3: Cross multiply
    347.07x = 520.75 × 210.22
  4. Step 4: Simplify right side
    347.07x = 109,469.84
  5. Step 5: Solve for x
    x = 109,469.84/347.07
  6. Step 6: Final answer
    x = 315.41

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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.