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Finding the Fourth Proportional to 433.14, 596.97 and 316.50

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Solution

The fourth proportional to 433.14, 596.97 and 316.50 is: 436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 596.97 = 316.50 : x
  2. Step 2: Convert to fraction form
    433.14/596.97 = 316.50/x
  3. Step 3: Cross multiply
    433.14x = 596.97 × 316.50
  4. Step 4: Simplify right side
    433.14x = 188,941.01
  5. Step 5: Solve for x
    x = 188,941.01/433.14
  6. Step 6: Final answer
    x = 436.21

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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.