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Finding the Fourth Proportional to 470.44, 650.10 and 340.12

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Solution

The fourth proportional to 470.44, 650.10 and 340.12 is: 470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.44 : 650.10 = 340.12 : x
  2. Step 2: Convert to fraction form
    470.44/650.10 = 340.12/x
  3. Step 3: Cross multiply
    470.44x = 650.10 × 340.12
  4. Step 4: Simplify right side
    470.44x = 221,112.01
  5. Step 5: Solve for x
    x = 221,112.01/470.44
  6. Step 6: Final answer
    x = 470.01

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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.