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Finding the Fourth Proportional to 389.93, 582.36 and 353.29

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Solution

The fourth proportional to 389.93, 582.36 and 353.29 is: 527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.93 : 582.36 = 353.29 : x
  2. Step 2: Convert to fraction form
    389.93/582.36 = 353.29/x
  3. Step 3: Cross multiply
    389.93x = 582.36 × 353.29
  4. Step 4: Simplify right side
    389.93x = 205,741.08
  5. Step 5: Solve for x
    x = 205,741.08/389.93
  6. Step 6: Final answer
    x = 527.64

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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.