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Finding the Fourth Proportional to 377.64, 563.60 and 367.92

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Solution

The fourth proportional to 377.64, 563.60 and 367.92 is: 549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.64 : 563.60 = 367.92 : x
  2. Step 2: Convert to fraction form
    377.64/563.60 = 367.92/x
  3. Step 3: Cross multiply
    377.64x = 563.60 × 367.92
  4. Step 4: Simplify right side
    377.64x = 207,359.71
  5. Step 5: Solve for x
    x = 207,359.71/377.64
  6. Step 6: Final answer
    x = 549.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.