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Finding the Fourth Proportional to 431.32, 593.76 and 320.44

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Solution

The fourth proportional to 431.32, 593.76 and 320.44 is: 441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.32 : 593.76 = 320.44 : x
  2. Step 2: Convert to fraction form
    431.32/593.76 = 320.44/x
  3. Step 3: Cross multiply
    431.32x = 593.76 × 320.44
  4. Step 4: Simplify right side
    431.32x = 190,264.45
  5. Step 5: Solve for x
    x = 190,264.45/431.32
  6. Step 6: Final answer
    x = 441.12

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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.