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Finding the Fourth Proportional to 375.20, 561.84 and 277.55

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Solution

The fourth proportional to 375.20, 561.84 and 277.55 is: 415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 561.84 = 277.55 : x
  2. Step 2: Convert to fraction form
    375.20/561.84 = 277.55/x
  3. Step 3: Cross multiply
    375.20x = 561.84 × 277.55
  4. Step 4: Simplify right side
    375.20x = 155,939.06
  5. Step 5: Solve for x
    x = 155,939.06/375.20
  6. Step 6: Final answer
    x = 415.62

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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.