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Finding the Fourth Proportional to 253.11, 347.73 and 242.40

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Solution

The fourth proportional to 253.11, 347.73 and 242.40 is: 333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.11 : 347.73 = 242.40 : x
  2. Step 2: Convert to fraction form
    253.11/347.73 = 242.40/x
  3. Step 3: Cross multiply
    253.11x = 347.73 × 242.40
  4. Step 4: Simplify right side
    253.11x = 84,289.75
  5. Step 5: Solve for x
    x = 84,289.75/253.11
  6. Step 6: Final answer
    x = 333.02

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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.