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Finding the Fourth Proportional to 307.70, 460.83 and 242.54

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Solution

The fourth proportional to 307.70, 460.83 and 242.54 is: 363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 460.83 = 242.54 : x
  2. Step 2: Convert to fraction form
    307.70/460.83 = 242.54/x
  3. Step 3: Cross multiply
    307.70x = 460.83 × 242.54
  4. Step 4: Simplify right side
    307.70x = 111,769.71
  5. Step 5: Solve for x
    x = 111,769.71/307.70
  6. Step 6: Final answer
    x = 363.24

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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.