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Finding the Fourth Proportional to 377.86, 565.47 and 352.66

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Solution

The fourth proportional to 377.86, 565.47 and 352.66 is: 527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.86 : 565.47 = 352.66 : x
  2. Step 2: Convert to fraction form
    377.86/565.47 = 352.66/x
  3. Step 3: Cross multiply
    377.86x = 565.47 × 352.66
  4. Step 4: Simplify right side
    377.86x = 199,418.65
  5. Step 5: Solve for x
    x = 199,418.65/377.86
  6. Step 6: Final answer
    x = 527.76

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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.