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Finding the Fourth Proportional to 347.57, 520.67 and 278.77

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Solution

The fourth proportional to 347.57, 520.67 and 278.77 is: 417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.57 : 520.67 = 278.77 : x
  2. Step 2: Convert to fraction form
    347.57/520.67 = 278.77/x
  3. Step 3: Cross multiply
    347.57x = 520.67 × 278.77
  4. Step 4: Simplify right side
    347.57x = 145,147.18
  5. Step 5: Solve for x
    x = 145,147.18/347.57
  6. Step 6: Final answer
    x = 417.61

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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.