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Finding the Fourth Proportional to 377.16, 519.39 and 260.52

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Solution

The fourth proportional to 377.16, 519.39 and 260.52 is: 358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.16 : 519.39 = 260.52 : x
  2. Step 2: Convert to fraction form
    377.16/519.39 = 260.52/x
  3. Step 3: Cross multiply
    377.16x = 519.39 × 260.52
  4. Step 4: Simplify right side
    377.16x = 135,311.48
  5. Step 5: Solve for x
    x = 135,311.48/377.16
  6. Step 6: Final answer
    x = 358.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.