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Finding the Fourth Proportional to 187.13, 257.36 and 150.23

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Solution

The fourth proportional to 187.13, 257.36 and 150.23 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.13 : 257.36 = 150.23 : x
  2. Step 2: Convert to fraction form
    187.13/257.36 = 150.23/x
  3. Step 3: Cross multiply
    187.13x = 257.36 × 150.23
  4. Step 4: Simplify right side
    187.13x = 38,663.19
  5. Step 5: Solve for x
    x = 38,663.19/187.13
  6. Step 6: Final answer
    x = 206.61

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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.