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Finding the Fourth Proportional to 544.40, 816.12 and 202

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Solution

The fourth proportional to 544.40, 816.12 and 202 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.40 : 816.12 = 202 : x
  2. Step 2: Convert to fraction form
    544.40/816.12 = 202/x
  3. Step 3: Cross multiply
    544.40x = 816.12 × 202
  4. Step 4: Simplify right side
    544.40x = 164,856.24
  5. Step 5: Solve for x
    x = 164,856.24/544.40
  6. Step 6: Final answer
    x = 302.82

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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.