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Finding the Fourth Proportional to 342.30, 472.35 and 209.74

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Solution

The fourth proportional to 342.30, 472.35 and 209.74 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.30 : 472.35 = 209.74 : x
  2. Step 2: Convert to fraction form
    342.30/472.35 = 209.74/x
  3. Step 3: Cross multiply
    342.30x = 472.35 × 209.74
  4. Step 4: Simplify right side
    342.30x = 99,068.33
  5. Step 5: Solve for x
    x = 99,068.33/342.30
  6. Step 6: Final answer
    x = 289.42

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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.