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Finding the Fourth Proportional to 347.10, 520.78 and 270.16

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Solution

The fourth proportional to 347.10, 520.78 and 270.16 is: 405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.10 : 520.78 = 270.16 : x
  2. Step 2: Convert to fraction form
    347.10/520.78 = 270.16/x
  3. Step 3: Cross multiply
    347.10x = 520.78 × 270.16
  4. Step 4: Simplify right side
    347.10x = 140,693.92
  5. Step 5: Solve for x
    x = 140,693.92/347.10
  6. Step 6: Final answer
    x = 405.34

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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.