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Finding the Fourth Proportional to 341.74, 512.30 and 187.75

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Solution

The fourth proportional to 341.74, 512.30 and 187.75 is: 281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.74 : 512.30 = 187.75 : x
  2. Step 2: Convert to fraction form
    341.74/512.30 = 187.75/x
  3. Step 3: Cross multiply
    341.74x = 512.30 × 187.75
  4. Step 4: Simplify right side
    341.74x = 96,183.51
  5. Step 5: Solve for x
    x = 96,183.51/341.74
  6. Step 6: Final answer
    x = 281.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.