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Finding the Fourth Proportional to 610.37, 914.99 and 199.30

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Solution

The fourth proportional to 610.37, 914.99 and 199.30 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.37 : 914.99 = 199.30 : x
  2. Step 2: Convert to fraction form
    610.37/914.99 = 199.30/x
  3. Step 3: Cross multiply
    610.37x = 914.99 × 199.30
  4. Step 4: Simplify right side
    610.37x = 182,357.51
  5. Step 5: Solve for x
    x = 182,357.51/610.37
  6. Step 6: Final answer
    x = 298.77

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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.