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Finding the Fourth Proportional to 301.90, 452.64 and 139.66

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Solution

The fourth proportional to 301.90, 452.64 and 139.66 is: 209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.90 : 452.64 = 139.66 : x
  2. Step 2: Convert to fraction form
    301.90/452.64 = 139.66/x
  3. Step 3: Cross multiply
    301.90x = 452.64 × 139.66
  4. Step 4: Simplify right side
    301.90x = 63,215.70
  5. Step 5: Solve for x
    x = 63,215.70/301.90
  6. Step 6: Final answer
    x = 209.39

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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.