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Finding the Fourth Proportional to 306.58, 459.12 and 198.04

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Solution

The fourth proportional to 306.58, 459.12 and 198.04 is: 296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.58 : 459.12 = 198.04 : x
  2. Step 2: Convert to fraction form
    306.58/459.12 = 198.04/x
  3. Step 3: Cross multiply
    306.58x = 459.12 × 198.04
  4. Step 4: Simplify right side
    306.58x = 90,924.12
  5. Step 5: Solve for x
    x = 90,924.12/306.58
  6. Step 6: Final answer
    x = 296.58

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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.