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Finding the Fourth Proportional to 306.05, 457.18 and 245.30

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Solution

The fourth proportional to 306.05, 457.18 and 245.30 is: 366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.05 : 457.18 = 245.30 : x
  2. Step 2: Convert to fraction form
    306.05/457.18 = 245.30/x
  3. Step 3: Cross multiply
    306.05x = 457.18 × 245.30
  4. Step 4: Simplify right side
    306.05x = 112,143.35
  5. Step 5: Solve for x
    x = 112,143.35/306.05
  6. Step 6: Final answer
    x = 366.43

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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.