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Finding the Fourth Proportional to 340.98, 470.47 and 201.10

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Solution

The fourth proportional to 340.98, 470.47 and 201.10 is: 277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.98 : 470.47 = 201.10 : x
  2. Step 2: Convert to fraction form
    340.98/470.47 = 201.10/x
  3. Step 3: Cross multiply
    340.98x = 470.47 × 201.10
  4. Step 4: Simplify right side
    340.98x = 94,610.51
  5. Step 5: Solve for x
    x = 94,610.51/340.98
  6. Step 6: Final answer
    x = 277.47

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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.