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Finding the Fourth Proportional to 544.61, 816.65 and 197.70

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Solution

The fourth proportional to 544.61, 816.65 and 197.70 is: 296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.61 : 816.65 = 197.70 : x
  2. Step 2: Convert to fraction form
    544.61/816.65 = 197.70/x
  3. Step 3: Cross multiply
    544.61x = 816.65 × 197.70
  4. Step 4: Simplify right side
    544.61x = 161,448.89
  5. Step 5: Solve for x
    x = 161,448.89/544.61
  6. Step 6: Final answer
    x = 296.45

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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.