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Finding the Fourth Proportional to 369.30, 509.68 and 212

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Solution

The fourth proportional to 369.30, 509.68 and 212 is: 292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.30 : 509.68 = 212 : x
  2. Step 2: Convert to fraction form
    369.30/509.68 = 212/x
  3. Step 3: Cross multiply
    369.30x = 509.68 × 212
  4. Step 4: Simplify right side
    369.30x = 108,052.16
  5. Step 5: Solve for x
    x = 108,052.16/369.30
  6. Step 6: Final answer
    x = 292.59

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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.