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Finding the Fourth Proportional to 390.01, 538.19 and 212.96

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Solution

The fourth proportional to 390.01, 538.19 and 212.96 is: 293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.01 : 538.19 = 212.96 : x
  2. Step 2: Convert to fraction form
    390.01/538.19 = 212.96/x
  3. Step 3: Cross multiply
    390.01x = 538.19 × 212.96
  4. Step 4: Simplify right side
    390.01x = 114,614.82
  5. Step 5: Solve for x
    x = 114,614.82/390.01
  6. Step 6: Final answer
    x = 293.88

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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.