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Finding the Fourth Proportional to 376.95, 566.10 and 274.35

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Solution

The fourth proportional to 376.95, 566.10 and 274.35 is: 412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.95 : 566.10 = 274.35 : x
  2. Step 2: Convert to fraction form
    376.95/566.10 = 274.35/x
  3. Step 3: Cross multiply
    376.95x = 566.10 × 274.35
  4. Step 4: Simplify right side
    376.95x = 155,309.54
  5. Step 5: Solve for x
    x = 155,309.54/376.95
  6. Step 6: Final answer
    x = 412.02

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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.