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Finding the Fourth Proportional to 608.42, 912.60 and 197.54

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Solution

The fourth proportional to 608.42, 912.60 and 197.54 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 912.60 = 197.54 : x
  2. Step 2: Convert to fraction form
    608.42/912.60 = 197.54/x
  3. Step 3: Cross multiply
    608.42x = 912.60 × 197.54
  4. Step 4: Simplify right side
    608.42x = 180,275.00
  5. Step 5: Solve for x
    x = 180,275.00/608.42
  6. Step 6: Final answer
    x = 296.30

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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.