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Finding the Fourth Proportional to 306.75, 457.20 and 289.45

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Solution

The fourth proportional to 306.75, 457.20 and 289.45 is: 431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 457.20 = 289.45 : x
  2. Step 2: Convert to fraction form
    306.75/457.20 = 289.45/x
  3. Step 3: Cross multiply
    306.75x = 457.20 × 289.45
  4. Step 4: Simplify right side
    306.75x = 132,335.09
  5. Step 5: Solve for x
    x = 132,335.09/306.75
  6. Step 6: Final answer
    x = 431.42

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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.