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Finding the Fourth Proportional to 431.60, 595.56 and 344.24

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Solution

The fourth proportional to 431.60, 595.56 and 344.24 is: 475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.60 : 595.56 = 344.24 : x
  2. Step 2: Convert to fraction form
    431.60/595.56 = 344.24/x
  3. Step 3: Cross multiply
    431.60x = 595.56 × 344.24
  4. Step 4: Simplify right side
    431.60x = 205,015.57
  5. Step 5: Solve for x
    x = 205,015.57/431.60
  6. Step 6: Final answer
    x = 475.01

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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.