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Finding the Fourth Proportional to 376.24, 519 and 278.16

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Solution

The fourth proportional to 376.24, 519 and 278.16 is: 383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.24 : 519 = 278.16 : x
  2. Step 2: Convert to fraction form
    376.24/519 = 278.16/x
  3. Step 3: Cross multiply
    376.24x = 519 × 278.16
  4. Step 4: Simplify right side
    376.24x = 144,365.04
  5. Step 5: Solve for x
    x = 144,365.04/376.24
  6. Step 6: Final answer
    x = 383.70

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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.