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Finding the Fourth Proportional to 207.90, 286.74 and 155.46

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Solution

The fourth proportional to 207.90, 286.74 and 155.46 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.90 : 286.74 = 155.46 : x
  2. Step 2: Convert to fraction form
    207.90/286.74 = 155.46/x
  3. Step 3: Cross multiply
    207.90x = 286.74 × 155.46
  4. Step 4: Simplify right side
    207.90x = 44,576.60
  5. Step 5: Solve for x
    x = 44,576.60/207.90
  6. Step 6: Final answer
    x = 214.41

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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.