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Finding the Fourth Proportional to 618.95, 928.46 and 208.10

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Solution

The fourth proportional to 618.95, 928.46 and 208.10 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.95 : 928.46 = 208.10 : x
  2. Step 2: Convert to fraction form
    618.95/928.46 = 208.10/x
  3. Step 3: Cross multiply
    618.95x = 928.46 × 208.10
  4. Step 4: Simplify right side
    618.95x = 193,215.37
  5. Step 5: Solve for x
    x = 193,215.37/618.95
  6. Step 6: Final answer
    x = 312.17

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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.