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Finding the Fourth Proportional to 618.71, 928.09 and 156.49

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Solution

The fourth proportional to 618.71, 928.09 and 156.49 is: 234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.71 : 928.09 = 156.49 : x
  2. Step 2: Convert to fraction form
    618.71/928.09 = 156.49/x
  3. Step 3: Cross multiply
    618.71x = 928.09 × 156.49
  4. Step 4: Simplify right side
    618.71x = 145,239.18
  5. Step 5: Solve for x
    x = 145,239.18/618.71
  6. Step 6: Final answer
    x = 234.75

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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.