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Finding the Fourth Proportional to 431.34, 593.91 and 401.10

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Solution

The fourth proportional to 431.34, 593.91 and 401.10 is: 552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 593.91 = 401.10 : x
  2. Step 2: Convert to fraction form
    431.34/593.91 = 401.10/x
  3. Step 3: Cross multiply
    431.34x = 593.91 × 401.10
  4. Step 4: Simplify right side
    431.34x = 238,217.30
  5. Step 5: Solve for x
    x = 238,217.30/431.34
  6. Step 6: Final answer
    x = 552.27

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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.