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Finding the Fourth Proportional to 242.70, 362.30 and 206.24

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Solution

The fourth proportional to 242.70, 362.30 and 206.24 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.70 : 362.30 = 206.24 : x
  2. Step 2: Convert to fraction form
    242.70/362.30 = 206.24/x
  3. Step 3: Cross multiply
    242.70x = 362.30 × 206.24
  4. Step 4: Simplify right side
    242.70x = 74,720.75
  5. Step 5: Solve for x
    x = 74,720.75/242.70
  6. Step 6: Final answer
    x = 307.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.