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Finding the Fourth Proportional to 242.88, 333.76 and 216.96

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Solution

The fourth proportional to 242.88, 333.76 and 216.96 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.88 : 333.76 = 216.96 : x
  2. Step 2: Convert to fraction form
    242.88/333.76 = 216.96/x
  3. Step 3: Cross multiply
    242.88x = 333.76 × 216.96
  4. Step 4: Simplify right side
    242.88x = 72,412.57
  5. Step 5: Solve for x
    x = 72,412.57/242.88
  6. Step 6: Final answer
    x = 298.14

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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.