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Finding the Fourth Proportional to 377.75, 521.30 and 222.50

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Solution

The fourth proportional to 377.75, 521.30 and 222.50 is: 307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.75 : 521.30 = 222.50 : x
  2. Step 2: Convert to fraction form
    377.75/521.30 = 222.50/x
  3. Step 3: Cross multiply
    377.75x = 521.30 × 222.50
  4. Step 4: Simplify right side
    377.75x = 115,989.25
  5. Step 5: Solve for x
    x = 115,989.25/377.75
  6. Step 6: Final answer
    x = 307.05

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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.