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Finding the Fourth Proportional to 350.52, 524.96 and 340.19

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Solution

The fourth proportional to 350.52, 524.96 and 340.19 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.52 : 524.96 = 340.19 : x
  2. Step 2: Convert to fraction form
    350.52/524.96 = 340.19/x
  3. Step 3: Cross multiply
    350.52x = 524.96 × 340.19
  4. Step 4: Simplify right side
    350.52x = 178,586.14
  5. Step 5: Solve for x
    x = 178,586.14/350.52
  6. Step 6: Final answer
    x = 509.49

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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.