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Finding the Fourth Proportional to 386.91, 533.95 and 212.25

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Solution

The fourth proportional to 386.91, 533.95 and 212.25 is: 292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.91 : 533.95 = 212.25 : x
  2. Step 2: Convert to fraction form
    386.91/533.95 = 212.25/x
  3. Step 3: Cross multiply
    386.91x = 533.95 × 212.25
  4. Step 4: Simplify right side
    386.91x = 113,330.89
  5. Step 5: Solve for x
    x = 113,330.89/386.91
  6. Step 6: Final answer
    x = 292.92

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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.