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Finding the Fourth Proportional to 242.68, 333.51 and 218.38

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Solution

The fourth proportional to 242.68, 333.51 and 218.38 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.68 : 333.51 = 218.38 : x
  2. Step 2: Convert to fraction form
    242.68/333.51 = 218.38/x
  3. Step 3: Cross multiply
    242.68x = 333.51 × 218.38
  4. Step 4: Simplify right side
    242.68x = 72,831.91
  5. Step 5: Solve for x
    x = 72,831.91/242.68
  6. Step 6: Final answer
    x = 300.12

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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.