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Finding the Fourth Proportional to 377.48, 520.66 and 364.78

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Solution

The fourth proportional to 377.48, 520.66 and 364.78 is: 503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.48 : 520.66 = 364.78 : x
  2. Step 2: Convert to fraction form
    377.48/520.66 = 364.78/x
  3. Step 3: Cross multiply
    377.48x = 520.66 × 364.78
  4. Step 4: Simplify right side
    377.48x = 189,928.88
  5. Step 5: Solve for x
    x = 189,928.88/377.48
  6. Step 6: Final answer
    x = 503.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.