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Finding the Fourth Proportional to 301.79, 451.95 and 147.22

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Solution

The fourth proportional to 301.79, 451.95 and 147.22 is: 220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.79 : 451.95 = 147.22 : x
  2. Step 2: Convert to fraction form
    301.79/451.95 = 147.22/x
  3. Step 3: Cross multiply
    301.79x = 451.95 × 147.22
  4. Step 4: Simplify right side
    301.79x = 66,535.67
  5. Step 5: Solve for x
    x = 66,535.67/301.79
  6. Step 6: Final answer
    x = 220.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.