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Finding the Fourth Proportional to 548.60, 757.08 and 299.93

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Solution

The fourth proportional to 548.60, 757.08 and 299.93 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.60 : 757.08 = 299.93 : x
  2. Step 2: Convert to fraction form
    548.60/757.08 = 299.93/x
  3. Step 3: Cross multiply
    548.60x = 757.08 × 299.93
  4. Step 4: Simplify right side
    548.60x = 227,073.81
  5. Step 5: Solve for x
    x = 227,073.81/548.60
  6. Step 6: Final answer
    x = 413.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.