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Finding the Fourth Proportional to 608.94, 913.24 and 198.37

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Solution

The fourth proportional to 608.94, 913.24 and 198.37 is: 297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.94 : 913.24 = 198.37 : x
  2. Step 2: Convert to fraction form
    608.94/913.24 = 198.37/x
  3. Step 3: Cross multiply
    608.94x = 913.24 × 198.37
  4. Step 4: Simplify right side
    608.94x = 181,158.02
  5. Step 5: Solve for x
    x = 181,158.02/608.94
  6. Step 6: Final answer
    x = 297.50

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1.5x scale

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.