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Finding the Fourth Proportional to 431.99, 596.35 and 284.37

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Solution

The fourth proportional to 431.99, 596.35 and 284.37 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.99 : 596.35 = 284.37 : x
  2. Step 2: Convert to fraction form
    431.99/596.35 = 284.37/x
  3. Step 3: Cross multiply
    431.99x = 596.35 × 284.37
  4. Step 4: Simplify right side
    431.99x = 169,584.05
  5. Step 5: Solve for x
    x = 169,584.05/431.99
  6. Step 6: Final answer
    x = 392.56

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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.