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Finding the Fourth Proportional to 301.16, 449.21 and 288.20

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Solution

The fourth proportional to 301.16, 449.21 and 288.20 is: 429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.16 : 449.21 = 288.20 : x
  2. Step 2: Convert to fraction form
    301.16/449.21 = 288.20/x
  3. Step 3: Cross multiply
    301.16x = 449.21 × 288.20
  4. Step 4: Simplify right side
    301.16x = 129,462.32
  5. Step 5: Solve for x
    x = 129,462.32/301.16
  6. Step 6: Final answer
    x = 429.88

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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.