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Finding the Fourth Proportional to 145.22, 217.64 and 103.46

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Solution

The fourth proportional to 145.22, 217.64 and 103.46 is: 155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.22 : 217.64 = 103.46 : x
  2. Step 2: Convert to fraction form
    145.22/217.64 = 103.46/x
  3. Step 3: Cross multiply
    145.22x = 217.64 × 103.46
  4. Step 4: Simplify right side
    145.22x = 22,516.20
  5. Step 5: Solve for x
    x = 22,516.20/145.22
  6. Step 6: Final answer
    x = 155.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.