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Finding the Fourth Proportional to 377.18, 565.87 and 341.03

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Solution

The fourth proportional to 377.18, 565.87 and 341.03 is: 511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.18 : 565.87 = 341.03 : x
  2. Step 2: Convert to fraction form
    377.18/565.87 = 341.03/x
  3. Step 3: Cross multiply
    377.18x = 565.87 × 341.03
  4. Step 4: Simplify right side
    377.18x = 192,976.94
  5. Step 5: Solve for x
    x = 192,976.94/377.18
  6. Step 6: Final answer
    x = 511.64

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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.