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Finding the Fourth Proportional to 347.25, 524.04 and 345.12

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Solution

The fourth proportional to 347.25, 524.04 and 345.12 is: 520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.25 : 524.04 = 345.12 : x
  2. Step 2: Convert to fraction form
    347.25/524.04 = 345.12/x
  3. Step 3: Cross multiply
    347.25x = 524.04 × 345.12
  4. Step 4: Simplify right side
    347.25x = 180,856.68
  5. Step 5: Solve for x
    x = 180,856.68/347.25
  6. Step 6: Final answer
    x = 520.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.