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Finding the Fourth Proportional to 368.34, 508.23 and 290.94

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Solution

The fourth proportional to 368.34, 508.23 and 290.94 is: 401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.34 : 508.23 = 290.94 : x
  2. Step 2: Convert to fraction form
    368.34/508.23 = 290.94/x
  3. Step 3: Cross multiply
    368.34x = 508.23 × 290.94
  4. Step 4: Simplify right side
    368.34x = 147,864.44
  5. Step 5: Solve for x
    x = 147,864.44/368.34
  6. Step 6: Final answer
    x = 401.43

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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.