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Finding the Fourth Proportional to 340.99, 470.58 and 201.10

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Solution

The fourth proportional to 340.99, 470.58 and 201.10 is: 277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.99 : 470.58 = 201.10 : x
  2. Step 2: Convert to fraction form
    340.99/470.58 = 201.10/x
  3. Step 3: Cross multiply
    340.99x = 470.58 × 201.10
  4. Step 4: Simplify right side
    340.99x = 94,632.46
  5. Step 5: Solve for x
    x = 94,632.46/340.99
  6. Step 6: Final answer
    x = 277.52

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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.