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Finding the Fourth Proportional to 348.37, 521.67 and 209.47

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Solution

The fourth proportional to 348.37, 521.67 and 209.47 is: 313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.37 : 521.67 = 209.47 : x
  2. Step 2: Convert to fraction form
    348.37/521.67 = 209.47/x
  3. Step 3: Cross multiply
    348.37x = 521.67 × 209.47
  4. Step 4: Simplify right side
    348.37x = 109,274.67
  5. Step 5: Solve for x
    x = 109,274.67/348.37
  6. Step 6: Final answer
    x = 313.68

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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.