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Finding the Fourth Proportional to 368.78, 508.91 and 258.21

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Solution

The fourth proportional to 368.78, 508.91 and 258.21 is: 356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.78 : 508.91 = 258.21 : x
  2. Step 2: Convert to fraction form
    368.78/508.91 = 258.21/x
  3. Step 3: Cross multiply
    368.78x = 508.91 × 258.21
  4. Step 4: Simplify right side
    368.78x = 131,407.72
  5. Step 5: Solve for x
    x = 131,407.72/368.78
  6. Step 6: Final answer
    x = 356.33

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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.