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Finding the Fourth Proportional to 377.78, 565.93 and 308.45

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Solution

The fourth proportional to 377.78, 565.93 and 308.45 is: 462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.78 : 565.93 = 308.45 : x
  2. Step 2: Convert to fraction form
    377.78/565.93 = 308.45/x
  3. Step 3: Cross multiply
    377.78x = 565.93 × 308.45
  4. Step 4: Simplify right side
    377.78x = 174,562.91
  5. Step 5: Solve for x
    x = 174,562.91/377.78
  6. Step 6: Final answer
    x = 462.07

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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.