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Finding the Fourth Proportional to 548.02, 756.27 and 299.35

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Solution

The fourth proportional to 548.02, 756.27 and 299.35 is: 413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 756.27 = 299.35 : x
  2. Step 2: Convert to fraction form
    548.02/756.27 = 299.35/x
  3. Step 3: Cross multiply
    548.02x = 756.27 × 299.35
  4. Step 4: Simplify right side
    548.02x = 226,385.64
  5. Step 5: Solve for x
    x = 226,385.64/548.02
  6. Step 6: Final answer
    x = 413.10

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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.