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Finding the Fourth Proportional to 301.94, 452.56 and 139.29

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Solution

The fourth proportional to 301.94, 452.56 and 139.29 is: 208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.94 : 452.56 = 139.29 : x
  2. Step 2: Convert to fraction form
    301.94/452.56 = 139.29/x
  3. Step 3: Cross multiply
    301.94x = 452.56 × 139.29
  4. Step 4: Simplify right side
    301.94x = 63,037.08
  5. Step 5: Solve for x
    x = 63,037.08/301.94
  6. Step 6: Final answer
    x = 208.77

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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.