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Finding the Fourth Proportional to 340.83, 470.36 and 193.48

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Solution

The fourth proportional to 340.83, 470.36 and 193.48 is: 267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.83 : 470.36 = 193.48 : x
  2. Step 2: Convert to fraction form
    340.83/470.36 = 193.48/x
  3. Step 3: Cross multiply
    340.83x = 470.36 × 193.48
  4. Step 4: Simplify right side
    340.83x = 91,005.25
  5. Step 5: Solve for x
    x = 91,005.25/340.83
  6. Step 6: Final answer
    x = 267.01

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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.