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Finding the Fourth Proportional to 206.54, 310.01 and 157.33

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Solution

The fourth proportional to 206.54, 310.01 and 157.33 is: 236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.54 : 310.01 = 157.33 : x
  2. Step 2: Convert to fraction form
    206.54/310.01 = 157.33/x
  3. Step 3: Cross multiply
    206.54x = 310.01 × 157.33
  4. Step 4: Simplify right side
    206.54x = 48,773.87
  5. Step 5: Solve for x
    x = 48,773.87/206.54
  6. Step 6: Final answer
    x = 236.15

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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.