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Finding the Fourth Proportional to 346.88, 520.26 and 200.48

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Solution

The fourth proportional to 346.88, 520.26 and 200.48 is: 300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.88 : 520.26 = 200.48 : x
  2. Step 2: Convert to fraction form
    346.88/520.26 = 200.48/x
  3. Step 3: Cross multiply
    346.88x = 520.26 × 200.48
  4. Step 4: Simplify right side
    346.88x = 104,301.72
  5. Step 5: Solve for x
    x = 104,301.72/346.88
  6. Step 6: Final answer
    x = 300.69

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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.