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Finding the Fourth Proportional to 290.17, 433.58 and 198.10

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Solution

The fourth proportional to 290.17, 433.58 and 198.10 is: 296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.17 : 433.58 = 198.10 : x
  2. Step 2: Convert to fraction form
    290.17/433.58 = 198.10/x
  3. Step 3: Cross multiply
    290.17x = 433.58 × 198.10
  4. Step 4: Simplify right side
    290.17x = 85,892.20
  5. Step 5: Solve for x
    x = 85,892.20/290.17
  6. Step 6: Final answer
    x = 296.01

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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.