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Finding the Fourth Proportional to 544.50, 752.05 and 360.18

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Solution

The fourth proportional to 544.50, 752.05 and 360.18 is: 497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.50 : 752.05 = 360.18 : x
  2. Step 2: Convert to fraction form
    544.50/752.05 = 360.18/x
  3. Step 3: Cross multiply
    544.50x = 752.05 × 360.18
  4. Step 4: Simplify right side
    544.50x = 270,873.37
  5. Step 5: Solve for x
    x = 270,873.37/544.50
  6. Step 6: Final answer
    x = 497.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.