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Finding the Fourth Proportional to 302.38, 452.51 and 209.39

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Solution

The fourth proportional to 302.38, 452.51 and 209.39 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.38 : 452.51 = 209.39 : x
  2. Step 2: Convert to fraction form
    302.38/452.51 = 209.39/x
  3. Step 3: Cross multiply
    302.38x = 452.51 × 209.39
  4. Step 4: Simplify right side
    302.38x = 94,749.13
  5. Step 5: Solve for x
    x = 94,749.13/302.38
  6. Step 6: Final answer
    x = 313.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.