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Finding the Fourth Proportional to 341.71, 511.30 and 187.79

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Solution

The fourth proportional to 341.71, 511.30 and 187.79 is: 280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.71 : 511.30 = 187.79 : x
  2. Step 2: Convert to fraction form
    341.71/511.30 = 187.79/x
  3. Step 3: Cross multiply
    341.71x = 511.30 × 187.79
  4. Step 4: Simplify right side
    341.71x = 96,014.71
  5. Step 5: Solve for x
    x = 96,014.71/341.71
  6. Step 6: Final answer
    x = 280.99

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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.