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Finding the Fourth Proportional to 207.84, 286.74 and 149.64

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Solution

The fourth proportional to 207.84, 286.74 and 149.64 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 286.74 = 149.64 : x
  2. Step 2: Convert to fraction form
    207.84/286.74 = 149.64/x
  3. Step 3: Cross multiply
    207.84x = 286.74 × 149.64
  4. Step 4: Simplify right side
    207.84x = 42,907.77
  5. Step 5: Solve for x
    x = 42,907.77/207.84
  6. Step 6: Final answer
    x = 206.45

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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.