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Finding the Fourth Proportional to 253.83, 350.33 and 242.28

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Solution

The fourth proportional to 253.83, 350.33 and 242.28 is: 334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.83 : 350.33 = 242.28 : x
  2. Step 2: Convert to fraction form
    253.83/350.33 = 242.28/x
  3. Step 3: Cross multiply
    253.83x = 350.33 × 242.28
  4. Step 4: Simplify right side
    253.83x = 84,878.05
  5. Step 5: Solve for x
    x = 84,878.05/253.83
  6. Step 6: Final answer
    x = 334.39

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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.