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Finding the Fourth Proportional to 340.61, 511.19 and 184.55

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Solution

The fourth proportional to 340.61, 511.19 and 184.55 is: 276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 511.19 = 184.55 : x
  2. Step 2: Convert to fraction form
    340.61/511.19 = 184.55/x
  3. Step 3: Cross multiply
    340.61x = 511.19 × 184.55
  4. Step 4: Simplify right side
    340.61x = 94,340.11
  5. Step 5: Solve for x
    x = 94,340.11/340.61
  6. Step 6: Final answer
    x = 276.97

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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.