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Finding the Fourth Proportional to 341.27, 511.43 and 187.01

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Solution

The fourth proportional to 341.27, 511.43 and 187.01 is: 280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.27 : 511.43 = 187.01 : x
  2. Step 2: Convert to fraction form
    341.27/511.43 = 187.01/x
  3. Step 3: Cross multiply
    341.27x = 511.43 × 187.01
  4. Step 4: Simplify right side
    341.27x = 95,639.03
  5. Step 5: Solve for x
    x = 95,639.03/341.27
  6. Step 6: Final answer
    x = 280.25

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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.