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Finding the Fourth Proportional to 187.65, 258.39 and 145.71

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Solution

The fourth proportional to 187.65, 258.39 and 145.71 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.65 : 258.39 = 145.71 : x
  2. Step 2: Convert to fraction form
    187.65/258.39 = 145.71/x
  3. Step 3: Cross multiply
    187.65x = 258.39 × 145.71
  4. Step 4: Simplify right side
    187.65x = 37,650.01
  5. Step 5: Solve for x
    x = 37,650.01/187.65
  6. Step 6: Final answer
    x = 200.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.