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Finding the Fourth Proportional to 145.10, 217.10 and 108.66

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Solution

The fourth proportional to 145.10, 217.10 and 108.66 is: 162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.10 : 217.10 = 108.66 : x
  2. Step 2: Convert to fraction form
    145.10/217.10 = 108.66/x
  3. Step 3: Cross multiply
    145.10x = 217.10 × 108.66
  4. Step 4: Simplify right side
    145.10x = 23,590.09
  5. Step 5: Solve for x
    x = 23,590.09/145.10
  6. Step 6: Final answer
    x = 162.58

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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.