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Finding the Fourth Proportional to 301.85, 449.76 and 288.58

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Solution

The fourth proportional to 301.85, 449.76 and 288.58 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.85 : 449.76 = 288.58 : x
  2. Step 2: Convert to fraction form
    301.85/449.76 = 288.58/x
  3. Step 3: Cross multiply
    301.85x = 449.76 × 288.58
  4. Step 4: Simplify right side
    301.85x = 129,791.74
  5. Step 5: Solve for x
    x = 129,791.74/301.85
  6. Step 6: Final answer
    x = 429.99

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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.