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Finding the Fourth Proportional to 245.10, 367.64 and 82.78

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Solution

The fourth proportional to 245.10, 367.64 and 82.78 is: 124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.10 : 367.64 = 82.78 : x
  2. Step 2: Convert to fraction form
    245.10/367.64 = 82.78/x
  3. Step 3: Cross multiply
    245.10x = 367.64 × 82.78
  4. Step 4: Simplify right side
    245.10x = 30,430.99
  5. Step 5: Solve for x
    x = 30,430.99/245.10
  6. Step 6: Final answer
    x = 124.16

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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.