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Finding the Fourth Proportional to 431.89, 595.39 and 327.10

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Solution

The fourth proportional to 431.89, 595.39 and 327.10 is: 450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.89 : 595.39 = 327.10 : x
  2. Step 2: Convert to fraction form
    431.89/595.39 = 327.10/x
  3. Step 3: Cross multiply
    431.89x = 595.39 × 327.10
  4. Step 4: Simplify right side
    431.89x = 194,752.07
  5. Step 5: Solve for x
    x = 194,752.07/431.89
  6. Step 6: Final answer
    x = 450.93

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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.