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Finding the Fourth Proportional to 349.44, 523.80 and 157.20

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Solution

The fourth proportional to 349.44, 523.80 and 157.20 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.44 : 523.80 = 157.20 : x
  2. Step 2: Convert to fraction form
    349.44/523.80 = 157.20/x
  3. Step 3: Cross multiply
    349.44x = 523.80 × 157.20
  4. Step 4: Simplify right side
    349.44x = 82,341.36
  5. Step 5: Solve for x
    x = 82,341.36/349.44
  6. Step 6: Final answer
    x = 235.64

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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.