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Finding the Fourth Proportional to 349.81, 524.91 and 228.31

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Solution

The fourth proportional to 349.81, 524.91 and 228.31 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.81 : 524.91 = 228.31 : x
  2. Step 2: Convert to fraction form
    349.81/524.91 = 228.31/x
  3. Step 3: Cross multiply
    349.81x = 524.91 × 228.31
  4. Step 4: Simplify right side
    349.81x = 119,842.20
  5. Step 5: Solve for x
    x = 119,842.20/349.81
  6. Step 6: Final answer
    x = 342.59

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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.