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Finding the Fourth Proportional to 531.24, 796.38 and 189.16

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Solution

The fourth proportional to 531.24, 796.38 and 189.16 is: 283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 796.38 = 189.16 : x
  2. Step 2: Convert to fraction form
    531.24/796.38 = 189.16/x
  3. Step 3: Cross multiply
    531.24x = 796.38 × 189.16
  4. Step 4: Simplify right side
    531.24x = 150,643.24
  5. Step 5: Solve for x
    x = 150,643.24/531.24
  6. Step 6: Final answer
    x = 283.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.