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Finding the Fourth Proportional to 242.68, 333.02 and 220.80

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Solution

The fourth proportional to 242.68, 333.02 and 220.80 is: 302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.68 : 333.02 = 220.80 : x
  2. Step 2: Convert to fraction form
    242.68/333.02 = 220.80/x
  3. Step 3: Cross multiply
    242.68x = 333.02 × 220.80
  4. Step 4: Simplify right side
    242.68x = 73,530.82
  5. Step 5: Solve for x
    x = 73,530.82/242.68
  6. Step 6: Final answer
    x = 302.99

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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.