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Finding the Fourth Proportional to 275.03, 377.22 and 242.22

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Solution

The fourth proportional to 275.03, 377.22 and 242.22 is: 332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.03 : 377.22 = 242.22 : x
  2. Step 2: Convert to fraction form
    275.03/377.22 = 242.22/x
  3. Step 3: Cross multiply
    275.03x = 377.22 × 242.22
  4. Step 4: Simplify right side
    275.03x = 91,372.55
  5. Step 5: Solve for x
    x = 91,372.55/275.03
  6. Step 6: Final answer
    x = 332.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.