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Finding the Fourth Proportional to 377.49, 565.69 and 351.93

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Solution

The fourth proportional to 377.49, 565.69 and 351.93 is: 527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.49 : 565.69 = 351.93 : x
  2. Step 2: Convert to fraction form
    377.49/565.69 = 351.93/x
  3. Step 3: Cross multiply
    377.49x = 565.69 × 351.93
  4. Step 4: Simplify right side
    377.49x = 199,083.28
  5. Step 5: Solve for x
    x = 199,083.28/377.49
  6. Step 6: Final answer
    x = 527.39

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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.