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Finding the Fourth Proportional to 306.50, 457.23 and 298.13

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Solution

The fourth proportional to 306.50, 457.23 and 298.13 is: 444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 457.23 = 298.13 : x
  2. Step 2: Convert to fraction form
    306.50/457.23 = 298.13/x
  3. Step 3: Cross multiply
    306.50x = 457.23 × 298.13
  4. Step 4: Simplify right side
    306.50x = 136,311.69
  5. Step 5: Solve for x
    x = 136,311.69/306.50
  6. Step 6: Final answer
    x = 444.74

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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.