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Finding the Fourth Proportional to 368.29, 508.44 and 257.74

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Solution

The fourth proportional to 368.29, 508.44 and 257.74 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.29 : 508.44 = 257.74 : x
  2. Step 2: Convert to fraction form
    368.29/508.44 = 257.74/x
  3. Step 3: Cross multiply
    368.29x = 508.44 × 257.74
  4. Step 4: Simplify right side
    368.29x = 131,045.33
  5. Step 5: Solve for x
    x = 131,045.33/368.29
  6. Step 6: Final answer
    x = 355.82

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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.