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Finding the Fourth Proportional to 306.90, 459.82 and 202.71

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Solution

The fourth proportional to 306.90, 459.82 and 202.71 is: 303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.90 : 459.82 = 202.71 : x
  2. Step 2: Convert to fraction form
    306.90/459.82 = 202.71/x
  3. Step 3: Cross multiply
    306.90x = 459.82 × 202.71
  4. Step 4: Simplify right side
    306.90x = 93,212.09
  5. Step 5: Solve for x
    x = 93,212.09/306.90
  6. Step 6: Final answer
    x = 303.72

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Why These Related Problems?

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