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Finding the Fourth Proportional to 302.90, 417.56 and 209.50

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Solution

The fourth proportional to 302.90, 417.56 and 209.50 is: 288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.90 : 417.56 = 209.50 : x
  2. Step 2: Convert to fraction form
    302.90/417.56 = 209.50/x
  3. Step 3: Cross multiply
    302.90x = 417.56 × 209.50
  4. Step 4: Simplify right side
    302.90x = 87,476.73
  5. Step 5: Solve for x
    x = 87,476.73/302.90
  6. Step 6: Final answer
    x = 288.80

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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.