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Finding the Fourth Proportional to 377.61, 565.80 and 255.81

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Solution

The fourth proportional to 377.61, 565.80 and 255.81 is: 383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.61 : 565.80 = 255.81 : x
  2. Step 2: Convert to fraction form
    377.61/565.80 = 255.81/x
  3. Step 3: Cross multiply
    377.61x = 565.80 × 255.81
  4. Step 4: Simplify right side
    377.61x = 144,737.30
  5. Step 5: Solve for x
    x = 144,737.30/377.61
  6. Step 6: Final answer
    x = 383.30

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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.