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Finding the Fourth Proportional to 306.28, 457.55 and 245.56

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Solution

The fourth proportional to 306.28, 457.55 and 245.56 is: 366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.28 : 457.55 = 245.56 : x
  2. Step 2: Convert to fraction form
    306.28/457.55 = 245.56/x
  3. Step 3: Cross multiply
    306.28x = 457.55 × 245.56
  4. Step 4: Simplify right side
    306.28x = 112,355.98
  5. Step 5: Solve for x
    x = 112,355.98/306.28
  6. Step 6: Final answer
    x = 366.84

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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.