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Finding the Fourth Proportional to 243.64, 333.31 and 242.68

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Solution

The fourth proportional to 243.64, 333.31 and 242.68 is: 332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.64 : 333.31 = 242.68 : x
  2. Step 2: Convert to fraction form
    243.64/333.31 = 242.68/x
  3. Step 3: Cross multiply
    243.64x = 333.31 × 242.68
  4. Step 4: Simplify right side
    243.64x = 80,887.67
  5. Step 5: Solve for x
    x = 80,887.67/243.64
  6. Step 6: Final answer
    x = 332.00

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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.