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Finding the Fourth Proportional to 299.20, 446.80 and 258.72

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Solution

The fourth proportional to 299.20, 446.80 and 258.72 is: 386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 446.80 = 258.72 : x
  2. Step 2: Convert to fraction form
    299.20/446.80 = 258.72/x
  3. Step 3: Cross multiply
    299.20x = 446.80 × 258.72
  4. Step 4: Simplify right side
    299.20x = 115,596.10
  5. Step 5: Solve for x
    x = 115,596.10/299.20
  6. Step 6: Final answer
    x = 386.35

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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.