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Finding the Fourth Proportional to 187.07, 257.27 and 150.17

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Solution

The fourth proportional to 187.07, 257.27 and 150.17 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.07 : 257.27 = 150.17 : x
  2. Step 2: Convert to fraction form
    187.07/257.27 = 150.17/x
  3. Step 3: Cross multiply
    187.07x = 257.27 × 150.17
  4. Step 4: Simplify right side
    187.07x = 38,632.20
  5. Step 5: Solve for x
    x = 38,632.20/187.07
  6. Step 6: Final answer
    x = 206.52

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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.