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Finding the Fourth Proportional to 302.84, 417.90 and 199.16

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Solution

The fourth proportional to 302.84, 417.90 and 199.16 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.84 : 417.90 = 199.16 : x
  2. Step 2: Convert to fraction form
    302.84/417.90 = 199.16/x
  3. Step 3: Cross multiply
    302.84x = 417.90 × 199.16
  4. Step 4: Simplify right side
    302.84x = 83,228.96
  5. Step 5: Solve for x
    x = 83,228.96/302.84
  6. Step 6: Final answer
    x = 274.83

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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.