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Finding the Fourth Proportional to 306.54, 457.37 and 275.79

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Solution

The fourth proportional to 306.54, 457.37 and 275.79 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.54 : 457.37 = 275.79 : x
  2. Step 2: Convert to fraction form
    306.54/457.37 = 275.79/x
  3. Step 3: Cross multiply
    306.54x = 457.37 × 275.79
  4. Step 4: Simplify right side
    306.54x = 126,136.69
  5. Step 5: Solve for x
    x = 126,136.69/306.54
  6. Step 6: Final answer
    x = 411.49

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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.