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Finding the Fourth Proportional to 312.80, 469.08 and 261.77

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Solution

The fourth proportional to 312.80, 469.08 and 261.77 is: 392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.80 : 469.08 = 261.77 : x
  2. Step 2: Convert to fraction form
    312.80/469.08 = 261.77/x
  3. Step 3: Cross multiply
    312.80x = 469.08 × 261.77
  4. Step 4: Simplify right side
    312.80x = 122,788.73
  5. Step 5: Solve for x
    x = 122,788.73/312.80
  6. Step 6: Final answer
    x = 392.55

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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.