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Finding the Fourth Proportional to 358.43, 534.77 and 319.44

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Solution

The fourth proportional to 358.43, 534.77 and 319.44 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.43 : 534.77 = 319.44 : x
  2. Step 2: Convert to fraction form
    358.43/534.77 = 319.44/x
  3. Step 3: Cross multiply
    358.43x = 534.77 × 319.44
  4. Step 4: Simplify right side
    358.43x = 170,828.53
  5. Step 5: Solve for x
    x = 170,828.53/358.43
  6. Step 6: Final answer
    x = 476.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.