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Finding the Fourth Proportional to 376, 564.16 and 279.68

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Solution

The fourth proportional to 376, 564.16 and 279.68 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376 : 564.16 = 279.68 : x
  2. Step 2: Convert to fraction form
    376/564.16 = 279.68/x
  3. Step 3: Cross multiply
    376x = 564.16 × 279.68
  4. Step 4: Simplify right side
    376x = 157,784.27
  5. Step 5: Solve for x
    x = 157,784.27/376
  6. Step 6: Final answer
    x = 419.64

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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.