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Finding the Fourth Proportional to 349.17, 524 and 156.81

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Solution

The fourth proportional to 349.17, 524 and 156.81 is: 235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.17 : 524 = 156.81 : x
  2. Step 2: Convert to fraction form
    349.17/524 = 156.81/x
  3. Step 3: Cross multiply
    349.17x = 524 × 156.81
  4. Step 4: Simplify right side
    349.17x = 82,168.44
  5. Step 5: Solve for x
    x = 82,168.44/349.17
  6. Step 6: Final answer
    x = 235.33

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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.