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Finding the Fourth Proportional to 386.98, 534 and 212.34

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Solution

The fourth proportional to 386.98, 534 and 212.34 is: 293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.98 : 534 = 212.34 : x
  2. Step 2: Convert to fraction form
    386.98/534 = 212.34/x
  3. Step 3: Cross multiply
    386.98x = 534 × 212.34
  4. Step 4: Simplify right side
    386.98x = 113,389.56
  5. Step 5: Solve for x
    x = 113,389.56/386.98
  6. Step 6: Final answer
    x = 293.01

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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.