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Finding the Fourth Proportional to 349.94, 524.92 and 106.47

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Solution

The fourth proportional to 349.94, 524.92 and 106.47 is: 159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.94 : 524.92 = 106.47 : x
  2. Step 2: Convert to fraction form
    349.94/524.92 = 106.47/x
  3. Step 3: Cross multiply
    349.94x = 524.92 × 106.47
  4. Step 4: Simplify right side
    349.94x = 55,885.61
  5. Step 5: Solve for x
    x = 55,885.61/349.94
  6. Step 6: Final answer
    x = 159.70

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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.