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Finding the Fourth Proportional to 302.22, 417.30 and 209.07

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Solution

The fourth proportional to 302.22, 417.30 and 209.07 is: 288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.22 : 417.30 = 209.07 : x
  2. Step 2: Convert to fraction form
    302.22/417.30 = 209.07/x
  3. Step 3: Cross multiply
    302.22x = 417.30 × 209.07
  4. Step 4: Simplify right side
    302.22x = 87,244.91
  5. Step 5: Solve for x
    x = 87,244.91/302.22
  6. Step 6: Final answer
    x = 288.68

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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.