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Finding the Fourth Proportional to 340.78, 470.28 and 185.53

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Solution

The fourth proportional to 340.78, 470.28 and 185.53 is: 256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.78 : 470.28 = 185.53 : x
  2. Step 2: Convert to fraction form
    340.78/470.28 = 185.53/x
  3. Step 3: Cross multiply
    340.78x = 470.28 × 185.53
  4. Step 4: Simplify right side
    340.78x = 87,251.64
  5. Step 5: Solve for x
    x = 87,251.64/340.78
  6. Step 6: Final answer
    x = 256.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.