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Finding the Fourth Proportional to 307.32, 423.93 and 209.04

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Solution

The fourth proportional to 307.32, 423.93 and 209.04 is: 288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.32 : 423.93 = 209.04 : x
  2. Step 2: Convert to fraction form
    307.32/423.93 = 209.04/x
  3. Step 3: Cross multiply
    307.32x = 423.93 × 209.04
  4. Step 4: Simplify right side
    307.32x = 88,618.33
  5. Step 5: Solve for x
    x = 88,618.33/307.32
  6. Step 6: Final answer
    x = 288.36

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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.