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Finding the Fourth Proportional to 618.16, 927.66 and 253.02

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Solution

The fourth proportional to 618.16, 927.66 and 253.02 is: 379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.16 : 927.66 = 253.02 : x
  2. Step 2: Convert to fraction form
    618.16/927.66 = 253.02/x
  3. Step 3: Cross multiply
    618.16x = 927.66 × 253.02
  4. Step 4: Simplify right side
    618.16x = 234,711.89
  5. Step 5: Solve for x
    x = 234,711.89/618.16
  6. Step 6: Final answer
    x = 379.69

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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.