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Finding the Fourth Proportional to 242.51, 362.90 and 206.87

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Solution

The fourth proportional to 242.51, 362.90 and 206.87 is: 309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.51 : 362.90 = 206.87 : x
  2. Step 2: Convert to fraction form
    242.51/362.90 = 206.87/x
  3. Step 3: Cross multiply
    242.51x = 362.90 × 206.87
  4. Step 4: Simplify right side
    242.51x = 75,070.27
  5. Step 5: Solve for x
    x = 75,070.27/242.51
  6. Step 6: Final answer
    x = 309.56

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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.