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Finding the Fourth Proportional to 302.19, 417.21 and 198.75

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Solution

The fourth proportional to 302.19, 417.21 and 198.75 is: 274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.19 : 417.21 = 198.75 : x
  2. Step 2: Convert to fraction form
    302.19/417.21 = 198.75/x
  3. Step 3: Cross multiply
    302.19x = 417.21 × 198.75
  4. Step 4: Simplify right side
    302.19x = 82,918.90
  5. Step 5: Solve for x
    x = 82,918.90/302.19
  6. Step 6: Final answer
    x = 274.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.