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Finding the Fourth Proportional to 302.90, 417.99 and 204.50

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Solution

The fourth proportional to 302.90, 417.99 and 204.50 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.90 : 417.99 = 204.50 : x
  2. Step 2: Convert to fraction form
    302.90/417.99 = 204.50/x
  3. Step 3: Cross multiply
    302.90x = 417.99 × 204.50
  4. Step 4: Simplify right side
    302.90x = 85,478.96
  5. Step 5: Solve for x
    x = 85,478.96/302.90
  6. Step 6: Final answer
    x = 282.20

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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.