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Finding the Fourth Proportional to 153.81, 212.46 and 139.95

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Solution

The fourth proportional to 153.81, 212.46 and 139.95 is: 193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.81 : 212.46 = 139.95 : x
  2. Step 2: Convert to fraction form
    153.81/212.46 = 139.95/x
  3. Step 3: Cross multiply
    153.81x = 212.46 × 139.95
  4. Step 4: Simplify right side
    153.81x = 29,733.78
  5. Step 5: Solve for x
    x = 29,733.78/153.81
  6. Step 6: Final answer
    x = 193.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.