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Finding the Fourth Proportional to 301.79, 452.27 and 147.41

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Solution

The fourth proportional to 301.79, 452.27 and 147.41 is: 220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.79 : 452.27 = 147.41 : x
  2. Step 2: Convert to fraction form
    301.79/452.27 = 147.41/x
  3. Step 3: Cross multiply
    301.79x = 452.27 × 147.41
  4. Step 4: Simplify right side
    301.79x = 66,666.12
  5. Step 5: Solve for x
    x = 66,666.12/301.79
  6. Step 6: Final answer
    x = 220.91

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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.