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Finding the Fourth Proportional to 206.04, 308.98 and 76.02

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Solution

The fourth proportional to 206.04, 308.98 and 76.02 is: 114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 308.98 = 76.02 : x
  2. Step 2: Convert to fraction form
    206.04/308.98 = 76.02/x
  3. Step 3: Cross multiply
    206.04x = 308.98 × 76.02
  4. Step 4: Simplify right side
    206.04x = 23,488.66
  5. Step 5: Solve for x
    x = 23,488.66/206.04
  6. Step 6: Final answer
    x = 114.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.