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Finding the Fourth Proportional to 306.58, 457.67 and 260.44

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Solution

The fourth proportional to 306.58, 457.67 and 260.44 is: 388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.58 : 457.67 = 260.44 : x
  2. Step 2: Convert to fraction form
    306.58/457.67 = 260.44/x
  3. Step 3: Cross multiply
    306.58x = 457.67 × 260.44
  4. Step 4: Simplify right side
    306.58x = 119,195.57
  5. Step 5: Solve for x
    x = 119,195.57/306.58
  6. Step 6: Final answer
    x = 388.79

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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.