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Finding the Fourth Proportional to 368.74, 508.62 and 341.38

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Solution

The fourth proportional to 368.74, 508.62 and 341.38 is: 470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.74 : 508.62 = 341.38 : x
  2. Step 2: Convert to fraction form
    368.74/508.62 = 341.38/x
  3. Step 3: Cross multiply
    368.74x = 508.62 × 341.38
  4. Step 4: Simplify right side
    368.74x = 173,632.70
  5. Step 5: Solve for x
    x = 173,632.70/368.74
  6. Step 6: Final answer
    x = 470.88

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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.