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Finding the Fourth Proportional to 301.28, 448.96 and 291.49

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Solution

The fourth proportional to 301.28, 448.96 and 291.49 is: 434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.28 : 448.96 = 291.49 : x
  2. Step 2: Convert to fraction form
    301.28/448.96 = 291.49/x
  3. Step 3: Cross multiply
    301.28x = 448.96 × 291.49
  4. Step 4: Simplify right side
    301.28x = 130,867.35
  5. Step 5: Solve for x
    x = 130,867.35/301.28
  6. Step 6: Final answer
    x = 434.37

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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.