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Finding the Fourth Proportional to 145.83, 217.43 and 136.52

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Solution

The fourth proportional to 145.83, 217.43 and 136.52 is: 203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.83 : 217.43 = 136.52 : x
  2. Step 2: Convert to fraction form
    145.83/217.43 = 136.52/x
  3. Step 3: Cross multiply
    145.83x = 217.43 × 136.52
  4. Step 4: Simplify right side
    145.83x = 29,682.80
  5. Step 5: Solve for x
    x = 29,682.80/145.83
  6. Step 6: Final answer
    x = 203.54

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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.