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Finding the Fourth Proportional to 938.20, 1,407.32 and 288.94

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Solution

The fourth proportional to 938.20, 1,407.32 and 288.94 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.20 : 1,407.32 = 288.94 : x
  2. Step 2: Convert to fraction form
    938.20/1,407.32 = 288.94/x
  3. Step 3: Cross multiply
    938.20x = 1,407.32 × 288.94
  4. Step 4: Simplify right side
    938.20x = 406,628.79
  5. Step 5: Solve for x
    x = 406,628.79/938.20
  6. Step 6: Final answer
    x = 433.41

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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.