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Finding the Fourth Proportional to 163.83, 224.88 and 145.00

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Solution

The fourth proportional to 163.83, 224.88 and 145.00 is: 199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.83 : 224.88 = 145.00 : x
  2. Step 2: Convert to fraction form
    163.83/224.88 = 145.00/x
  3. Step 3: Cross multiply
    163.83x = 224.88 × 145.00
  4. Step 4: Simplify right side
    163.83x = 32,605.75
  5. Step 5: Solve for x
    x = 32,605.75/163.83
  6. Step 6: Final answer
    x = 199.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.