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Finding the Fourth Proportional to 145.77, 217.39 and 131.93

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Solution

The fourth proportional to 145.77, 217.39 and 131.93 is: 196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.77 : 217.39 = 131.93 : x
  2. Step 2: Convert to fraction form
    145.77/217.39 = 131.93/x
  3. Step 3: Cross multiply
    145.77x = 217.39 × 131.93
  4. Step 4: Simplify right side
    145.77x = 28,680.26
  5. Step 5: Solve for x
    x = 28,680.26/145.77
  6. Step 6: Final answer
    x = 196.75

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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.