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Finding the Fourth Proportional to 208.01, 310.56 and 183.40

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Solution

The fourth proportional to 208.01, 310.56 and 183.40 is: 273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.01 : 310.56 = 183.40 : x
  2. Step 2: Convert to fraction form
    208.01/310.56 = 183.40/x
  3. Step 3: Cross multiply
    208.01x = 310.56 × 183.40
  4. Step 4: Simplify right side
    208.01x = 56,956.70
  5. Step 5: Solve for x
    x = 56,956.70/208.01
  6. Step 6: Final answer
    x = 273.82

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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.