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Finding the Fourth Proportional to 431.80, 595 and 354.04

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Solution

The fourth proportional to 431.80, 595 and 354.04 is: 487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.80 : 595 = 354.04 : x
  2. Step 2: Convert to fraction form
    431.80/595 = 354.04/x
  3. Step 3: Cross multiply
    431.80x = 595 × 354.04
  4. Step 4: Simplify right side
    431.80x = 210,653.80
  5. Step 5: Solve for x
    x = 210,653.80/431.80
  6. Step 6: Final answer
    x = 487.85

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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.