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Finding the Fourth Proportional to 149.65, 206.69 and 102.94

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Solution

The fourth proportional to 149.65, 206.69 and 102.94 is: 142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.65 : 206.69 = 102.94 : x
  2. Step 2: Convert to fraction form
    149.65/206.69 = 102.94/x
  3. Step 3: Cross multiply
    149.65x = 206.69 × 102.94
  4. Step 4: Simplify right side
    149.65x = 21,275.64
  5. Step 5: Solve for x
    x = 21,275.64/149.65
  6. Step 6: Final answer
    x = 142.17

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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.