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Finding the Fourth Proportional to 208.30, 311.14 and 156.66

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Solution

The fourth proportional to 208.30, 311.14 and 156.66 is: 234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.30 : 311.14 = 156.66 : x
  2. Step 2: Convert to fraction form
    208.30/311.14 = 156.66/x
  3. Step 3: Cross multiply
    208.30x = 311.14 × 156.66
  4. Step 4: Simplify right side
    208.30x = 48,743.19
  5. Step 5: Solve for x
    x = 48,743.19/208.30
  6. Step 6: Final answer
    x = 234.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.