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Finding the Fourth Proportional to 601.99, 903.14 and 255.15

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Solution

The fourth proportional to 601.99, 903.14 and 255.15 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.99 : 903.14 = 255.15 : x
  2. Step 2: Convert to fraction form
    601.99/903.14 = 255.15/x
  3. Step 3: Cross multiply
    601.99x = 903.14 × 255.15
  4. Step 4: Simplify right side
    601.99x = 230,430.38
  5. Step 5: Solve for x
    x = 230,430.38/601.99
  6. Step 6: Final answer
    x = 382.78

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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.