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Finding the Fourth Proportional to 438.59, 605.54 and 360.83

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Solution

The fourth proportional to 438.59, 605.54 and 360.83 is: 498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.59 : 605.54 = 360.83 : x
  2. Step 2: Convert to fraction form
    438.59/605.54 = 360.83/x
  3. Step 3: Cross multiply
    438.59x = 605.54 × 360.83
  4. Step 4: Simplify right side
    438.59x = 218,499.41
  5. Step 5: Solve for x
    x = 218,499.41/438.59
  6. Step 6: Final answer
    x = 498.18

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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.