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Finding the Fourth Proportional to 350.34, 525.12 and 144.72

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Solution

The fourth proportional to 350.34, 525.12 and 144.72 is: 216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.34 : 525.12 = 144.72 : x
  2. Step 2: Convert to fraction form
    350.34/525.12 = 144.72/x
  3. Step 3: Cross multiply
    350.34x = 525.12 × 144.72
  4. Step 4: Simplify right side
    350.34x = 75,995.37
  5. Step 5: Solve for x
    x = 75,995.37/350.34
  6. Step 6: Final answer
    x = 216.92

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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.