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Finding the Fourth Proportional to 208.10, 310.50 and 187.66

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Solution

The fourth proportional to 208.10, 310.50 and 187.66 is: 280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.10 : 310.50 = 187.66 : x
  2. Step 2: Convert to fraction form
    208.10/310.50 = 187.66/x
  3. Step 3: Cross multiply
    208.10x = 310.50 × 187.66
  4. Step 4: Simplify right side
    208.10x = 58,268.43
  5. Step 5: Solve for x
    x = 58,268.43/208.10
  6. Step 6: Final answer
    x = 280.00

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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.