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Finding the Fourth Proportional to 618.98, 928.47 and 208.10

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Solution

The fourth proportional to 618.98, 928.47 and 208.10 is: 312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.98 : 928.47 = 208.10 : x
  2. Step 2: Convert to fraction form
    618.98/928.47 = 208.10/x
  3. Step 3: Cross multiply
    618.98x = 928.47 × 208.10
  4. Step 4: Simplify right side
    618.98x = 193,214.73
  5. Step 5: Solve for x
    x = 193,214.73/618.98
  6. Step 6: Final answer
    x = 312.15

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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.