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Finding the Fourth Proportional to 275.06, 377.26 and 242.26

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Solution

The fourth proportional to 275.06, 377.26 and 242.26 is: 332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.06 : 377.26 = 242.26 : x
  2. Step 2: Convert to fraction form
    275.06/377.26 = 242.26/x
  3. Step 3: Cross multiply
    275.06x = 377.26 × 242.26
  4. Step 4: Simplify right side
    275.06x = 91,393.46
  5. Step 5: Solve for x
    x = 91,393.46/275.06
  6. Step 6: Final answer
    x = 332.26

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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.