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Finding the Fourth Proportional to 544.71, 816.45 and 197.76

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Solution

The fourth proportional to 544.71, 816.45 and 197.76 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.71 : 816.45 = 197.76 : x
  2. Step 2: Convert to fraction form
    544.71/816.45 = 197.76/x
  3. Step 3: Cross multiply
    544.71x = 816.45 × 197.76
  4. Step 4: Simplify right side
    544.71x = 161,457.07
  5. Step 5: Solve for x
    x = 161,457.07/544.71
  6. Step 6: Final answer
    x = 296.41

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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.