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Finding the Fourth Proportional to 306.75, 456.52 and 299.91

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Solution

The fourth proportional to 306.75, 456.52 and 299.91 is: 446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 456.52 = 299.91 : x
  2. Step 2: Convert to fraction form
    306.75/456.52 = 299.91/x
  3. Step 3: Cross multiply
    306.75x = 456.52 × 299.91
  4. Step 4: Simplify right side
    306.75x = 136,914.16
  5. Step 5: Solve for x
    x = 136,914.16/306.75
  6. Step 6: Final answer
    x = 446.34

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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.