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Finding the Fourth Proportional to 393.72, 589.42 and 291.46

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Solution

The fourth proportional to 393.72, 589.42 and 291.46 is: 436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.72 : 589.42 = 291.46 : x
  2. Step 2: Convert to fraction form
    393.72/589.42 = 291.46/x
  3. Step 3: Cross multiply
    393.72x = 589.42 × 291.46
  4. Step 4: Simplify right side
    393.72x = 171,792.35
  5. Step 5: Solve for x
    x = 171,792.35/393.72
  6. Step 6: Final answer
    x = 436.33

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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.