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Finding the Fourth Proportional to 206.59, 310.93 and 155.50

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Solution

The fourth proportional to 206.59, 310.93 and 155.50 is: 234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.59 : 310.93 = 155.50 : x
  2. Step 2: Convert to fraction form
    206.59/310.93 = 155.50/x
  3. Step 3: Cross multiply
    206.59x = 310.93 × 155.50
  4. Step 4: Simplify right side
    206.59x = 48,349.62
  5. Step 5: Solve for x
    x = 48,349.62/206.59
  6. Step 6: Final answer
    x = 234.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.