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Finding the Fourth Proportional to 389.74, 538.44 and 343.24

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Solution

The fourth proportional to 389.74, 538.44 and 343.24 is: 474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.74 : 538.44 = 343.24 : x
  2. Step 2: Convert to fraction form
    389.74/538.44 = 343.24/x
  3. Step 3: Cross multiply
    389.74x = 538.44 × 343.24
  4. Step 4: Simplify right side
    389.74x = 184,814.15
  5. Step 5: Solve for x
    x = 184,814.15/389.74
  6. Step 6: Final answer
    x = 474.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.