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Finding the Fourth Proportional to 347.18, 520.49 and 210.31

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Solution

The fourth proportional to 347.18, 520.49 and 210.31 is: 315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.18 : 520.49 = 210.31 : x
  2. Step 2: Convert to fraction form
    347.18/520.49 = 210.31/x
  3. Step 3: Cross multiply
    347.18x = 520.49 × 210.31
  4. Step 4: Simplify right side
    347.18x = 109,463.48
  5. Step 5: Solve for x
    x = 109,463.48/347.18
  6. Step 6: Final answer
    x = 315.30

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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.