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Finding the Fourth Proportional to 608.42, 912.42 and 243.22

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Solution

The fourth proportional to 608.42, 912.42 and 243.22 is: 364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 912.42 = 243.22 : x
  2. Step 2: Convert to fraction form
    608.42/912.42 = 243.22/x
  3. Step 3: Cross multiply
    608.42x = 912.42 × 243.22
  4. Step 4: Simplify right side
    608.42x = 221,918.79
  5. Step 5: Solve for x
    x = 221,918.79/608.42
  6. Step 6: Final answer
    x = 364.75

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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.