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Finding the Fourth Proportional to 369.94, 510.49 and 212.57

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Solution

The fourth proportional to 369.94, 510.49 and 212.57 is: 293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.94 : 510.49 = 212.57 : x
  2. Step 2: Convert to fraction form
    369.94/510.49 = 212.57/x
  3. Step 3: Cross multiply
    369.94x = 510.49 × 212.57
  4. Step 4: Simplify right side
    369.94x = 108,514.86
  5. Step 5: Solve for x
    x = 108,514.86/369.94
  6. Step 6: Final answer
    x = 293.33

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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.