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Finding the Fourth Proportional to 347.61, 520.92 and 193.50

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Solution

The fourth proportional to 347.61, 520.92 and 193.50 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.61 : 520.92 = 193.50 : x
  2. Step 2: Convert to fraction form
    347.61/520.92 = 193.50/x
  3. Step 3: Cross multiply
    347.61x = 520.92 × 193.50
  4. Step 4: Simplify right side
    347.61x = 100,798.02
  5. Step 5: Solve for x
    x = 100,798.02/347.61
  6. Step 6: Final answer
    x = 289.97

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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.