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Finding the Fourth Proportional to 188.19, 256.10 and 187.28

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Solution

The fourth proportional to 188.19, 256.10 and 187.28 is: 254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 256.10 = 187.28 : x
  2. Step 2: Convert to fraction form
    188.19/256.10 = 187.28/x
  3. Step 3: Cross multiply
    188.19x = 256.10 × 187.28
  4. Step 4: Simplify right side
    188.19x = 47,960.19
  5. Step 5: Solve for x
    x = 47,960.19/188.19
  6. Step 6: Final answer
    x = 254.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.