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Finding the Fourth Proportional to 618.88, 928.36 and 208.02

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Solution

The fourth proportional to 618.88, 928.36 and 208.02 is: 312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.88 : 928.36 = 208.02 : x
  2. Step 2: Convert to fraction form
    618.88/928.36 = 208.02/x
  3. Step 3: Cross multiply
    618.88x = 928.36 × 208.02
  4. Step 4: Simplify right side
    618.88x = 193,117.45
  5. Step 5: Solve for x
    x = 193,117.45/618.88
  6. Step 6: Final answer
    x = 312.04

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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.