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Finding the Fourth Proportional to 618.98, 927.67 and 253.33

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Solution

The fourth proportional to 618.98, 927.67 and 253.33 is: 379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.98 : 927.67 = 253.33 : x
  2. Step 2: Convert to fraction form
    618.98/927.67 = 253.33/x
  3. Step 3: Cross multiply
    618.98x = 927.67 × 253.33
  4. Step 4: Simplify right side
    618.98x = 235,004.16
  5. Step 5: Solve for x
    x = 235,004.16/618.98
  6. Step 6: Final answer
    x = 379.67

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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.