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Finding the Fourth Proportional to 393.42, 592.43 and 291.43

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Solution

The fourth proportional to 393.42, 592.43 and 291.43 is: 438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.42 : 592.43 = 291.43 : x
  2. Step 2: Convert to fraction form
    393.42/592.43 = 291.43/x
  3. Step 3: Cross multiply
    393.42x = 592.43 × 291.43
  4. Step 4: Simplify right side
    393.42x = 172,651.12
  5. Step 5: Solve for x
    x = 172,651.12/393.42
  6. Step 6: Final answer
    x = 438.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.