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Finding the Fourth Proportional to 369.47, 509.89 and 212.10

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Solution

The fourth proportional to 369.47, 509.89 and 212.10 is: 292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.47 : 509.89 = 212.10 : x
  2. Step 2: Convert to fraction form
    369.47/509.89 = 212.10/x
  3. Step 3: Cross multiply
    369.47x = 509.89 × 212.10
  4. Step 4: Simplify right side
    369.47x = 108,149.43
  5. Step 5: Solve for x
    x = 108,149.43/369.47
  6. Step 6: Final answer
    x = 292.72

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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.