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Finding the Fourth Proportional to 369.86, 510.39 and 212.47

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Solution

The fourth proportional to 369.86, 510.39 and 212.47 is: 293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.86 : 510.39 = 212.47 : x
  2. Step 2: Convert to fraction form
    369.86/510.39 = 212.47/x
  3. Step 3: Cross multiply
    369.86x = 510.39 × 212.47
  4. Step 4: Simplify right side
    369.86x = 108,442.03
  5. Step 5: Solve for x
    x = 108,442.03/369.86
  6. Step 6: Final answer
    x = 293.20

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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.