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Finding the Fourth Proportional to 342.41, 472.68 and 237.85

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Solution

The fourth proportional to 342.41, 472.68 and 237.85 is: 328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.41 : 472.68 = 237.85 : x
  2. Step 2: Convert to fraction form
    342.41/472.68 = 237.85/x
  3. Step 3: Cross multiply
    342.41x = 472.68 × 237.85
  4. Step 4: Simplify right side
    342.41x = 112,426.34
  5. Step 5: Solve for x
    x = 112,426.34/342.41
  6. Step 6: Final answer
    x = 328.34

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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.