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Finding the Fourth Proportional to 618.57, 928.01 and 248.40

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Solution

The fourth proportional to 618.57, 928.01 and 248.40 is: 372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.57 : 928.01 = 248.40 : x
  2. Step 2: Convert to fraction form
    618.57/928.01 = 248.40/x
  3. Step 3: Cross multiply
    618.57x = 928.01 × 248.40
  4. Step 4: Simplify right side
    618.57x = 230,516.91
  5. Step 5: Solve for x
    x = 230,516.91/618.57
  6. Step 6: Final answer
    x = 372.66

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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.