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Finding the Fourth Proportional to 675.68, 1,013.96 and 242.80

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Solution

The fourth proportional to 675.68, 1,013.96 and 242.80 is: 364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.68 : 1,013.96 = 242.80 : x
  2. Step 2: Convert to fraction form
    675.68/1,013.96 = 242.80/x
  3. Step 3: Cross multiply
    675.68x = 1,013.96 × 242.80
  4. Step 4: Simplify right side
    675.68x = 246,189.49
  5. Step 5: Solve for x
    x = 246,189.49/675.68
  6. Step 6: Final answer
    x = 364.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.