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Finding the Fourth Proportional to 544.55, 814.80 and 362.30

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Solution

The fourth proportional to 544.55, 814.80 and 362.30 is: 542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.55 : 814.80 = 362.30 : x
  2. Step 2: Convert to fraction form
    544.55/814.80 = 362.30/x
  3. Step 3: Cross multiply
    544.55x = 814.80 × 362.30
  4. Step 4: Simplify right side
    544.55x = 295,202.04
  5. Step 5: Solve for x
    x = 295,202.04/544.55
  6. Step 6: Final answer
    x = 542.10

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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.