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Finding the Fourth Proportional to 365.10, 544.06 and 363.75

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Solution

The fourth proportional to 365.10, 544.06 and 363.75 is: 542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.10 : 544.06 = 363.75 : x
  2. Step 2: Convert to fraction form
    365.10/544.06 = 363.75/x
  3. Step 3: Cross multiply
    365.10x = 544.06 × 363.75
  4. Step 4: Simplify right side
    365.10x = 197,901.83
  5. Step 5: Solve for x
    x = 197,901.83/365.10
  6. Step 6: Final answer
    x = 542.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.