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Finding the Fourth Proportional to 377.15, 565.02 and 261.33

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Solution

The fourth proportional to 377.15, 565.02 and 261.33 is: 391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.15 : 565.02 = 261.33 : x
  2. Step 2: Convert to fraction form
    377.15/565.02 = 261.33/x
  3. Step 3: Cross multiply
    377.15x = 565.02 × 261.33
  4. Step 4: Simplify right side
    377.15x = 147,656.68
  5. Step 5: Solve for x
    x = 147,656.68/377.15
  6. Step 6: Final answer
    x = 391.51

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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.