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Finding the Fourth Proportional to 302.05, 452.95 and 147.94

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Solution

The fourth proportional to 302.05, 452.95 and 147.94 is: 221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.05 : 452.95 = 147.94 : x
  2. Step 2: Convert to fraction form
    302.05/452.95 = 147.94/x
  3. Step 3: Cross multiply
    302.05x = 452.95 × 147.94
  4. Step 4: Simplify right side
    302.05x = 67,009.42
  5. Step 5: Solve for x
    x = 67,009.42/302.05
  6. Step 6: Final answer
    x = 221.85

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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.