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Finding the Fourth Proportional to 301.58, 449.17 and 288.25

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Solution

The fourth proportional to 301.58, 449.17 and 288.25 is: 429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.58 : 449.17 = 288.25 : x
  2. Step 2: Convert to fraction form
    301.58/449.17 = 288.25/x
  3. Step 3: Cross multiply
    301.58x = 449.17 × 288.25
  4. Step 4: Simplify right side
    301.58x = 129,473.25
  5. Step 5: Solve for x
    x = 129,473.25/301.58
  6. Step 6: Final answer
    x = 429.32

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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.