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Finding the Fourth Proportional to 163.62, 224.78 and 145.40

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Solution

The fourth proportional to 163.62, 224.78 and 145.40 is: 199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.62 : 224.78 = 145.40 : x
  2. Step 2: Convert to fraction form
    163.62/224.78 = 145.40/x
  3. Step 3: Cross multiply
    163.62x = 224.78 × 145.40
  4. Step 4: Simplify right side
    163.62x = 32,681.16
  5. Step 5: Solve for x
    x = 32,681.16/163.62
  6. Step 6: Final answer
    x = 199.74

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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.