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Finding the Fourth Proportional to 302.90, 417.84 and 209.48

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Solution

The fourth proportional to 302.90, 417.84 and 209.48 is: 288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.90 : 417.84 = 209.48 : x
  2. Step 2: Convert to fraction form
    302.90/417.84 = 209.48/x
  3. Step 3: Cross multiply
    302.90x = 417.84 × 209.48
  4. Step 4: Simplify right side
    302.90x = 87,529.12
  5. Step 5: Solve for x
    x = 87,529.12/302.90
  6. Step 6: Final answer
    x = 288.97

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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.