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Finding the Fourth Proportional to 548.84, 823.03 and 202.10

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Solution

The fourth proportional to 548.84, 823.03 and 202.10 is: 303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.84 : 823.03 = 202.10 : x
  2. Step 2: Convert to fraction form
    548.84/823.03 = 202.10/x
  3. Step 3: Cross multiply
    548.84x = 823.03 × 202.10
  4. Step 4: Simplify right side
    548.84x = 166,329.74
  5. Step 5: Solve for x
    x = 166,329.74/548.84
  6. Step 6: Final answer
    x = 303.06

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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.