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Finding the Fourth Proportional to 145.59, 217.47 and 104.69

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Solution

The fourth proportional to 145.59, 217.47 and 104.69 is: 156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.59 : 217.47 = 104.69 : x
  2. Step 2: Convert to fraction form
    145.59/217.47 = 104.69/x
  3. Step 3: Cross multiply
    145.59x = 217.47 × 104.69
  4. Step 4: Simplify right side
    145.59x = 22,765.85
  5. Step 5: Solve for x
    x = 22,765.85/145.59
  6. Step 6: Final answer
    x = 156.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.