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Finding the Fourth Proportional to 912.68, 1,369.02 and 296.18

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Solution

The fourth proportional to 912.68, 1,369.02 and 296.18 is: 444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.68 : 1,369.02 = 296.18 : x
  2. Step 2: Convert to fraction form
    912.68/1,369.02 = 296.18/x
  3. Step 3: Cross multiply
    912.68x = 1,369.02 × 296.18
  4. Step 4: Simplify right side
    912.68x = 405,476.34
  5. Step 5: Solve for x
    x = 405,476.34/912.68
  6. Step 6: Final answer
    x = 444.27

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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.