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Finding the Fourth Proportional to 340.14, 468.27 and 304.38

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Solution

The fourth proportional to 340.14, 468.27 and 304.38 is: 419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 468.27 = 304.38 : x
  2. Step 2: Convert to fraction form
    340.14/468.27 = 304.38/x
  3. Step 3: Cross multiply
    340.14x = 468.27 × 304.38
  4. Step 4: Simplify right side
    340.14x = 142,532.02
  5. Step 5: Solve for x
    x = 142,532.02/340.14
  6. Step 6: Final answer
    x = 419.04

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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.