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Finding the Fourth Proportional to 608.36, 912.47 and 197.78

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Solution

The fourth proportional to 608.36, 912.47 and 197.78 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.36 : 912.47 = 197.78 : x
  2. Step 2: Convert to fraction form
    608.36/912.47 = 197.78/x
  3. Step 3: Cross multiply
    608.36x = 912.47 × 197.78
  4. Step 4: Simplify right side
    608.36x = 180,462.77
  5. Step 5: Solve for x
    x = 180,462.77/608.36
  6. Step 6: Final answer
    x = 296.64

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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.