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Finding the Fourth Proportional to 504.31, 756.49 and 157.88

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Solution

The fourth proportional to 504.31, 756.49 and 157.88 is: 236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.31 : 756.49 = 157.88 : x
  2. Step 2: Convert to fraction form
    504.31/756.49 = 157.88/x
  3. Step 3: Cross multiply
    504.31x = 756.49 × 157.88
  4. Step 4: Simplify right side
    504.31x = 119,434.64
  5. Step 5: Solve for x
    x = 119,434.64/504.31
  6. Step 6: Final answer
    x = 236.83

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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.