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Finding the Fourth Proportional to 393.69, 592.83 and 291.70

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Solution

The fourth proportional to 393.69, 592.83 and 291.70 is: 439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.69 : 592.83 = 291.70 : x
  2. Step 2: Convert to fraction form
    393.69/592.83 = 291.70/x
  3. Step 3: Cross multiply
    393.69x = 592.83 × 291.70
  4. Step 4: Simplify right side
    393.69x = 172,927.05
  5. Step 5: Solve for x
    x = 172,927.05/393.69
  6. Step 6: Final answer
    x = 439.25

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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.