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Finding the Fourth Proportional to 618.11, 926.82 and 207.02

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Solution

The fourth proportional to 618.11, 926.82 and 207.02 is: 310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.11 : 926.82 = 207.02 : x
  2. Step 2: Convert to fraction form
    618.11/926.82 = 207.02/x
  3. Step 3: Cross multiply
    618.11x = 926.82 × 207.02
  4. Step 4: Simplify right side
    618.11x = 191,870.28
  5. Step 5: Solve for x
    x = 191,870.28/618.11
  6. Step 6: Final answer
    x = 310.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.