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Finding the Fourth Proportional to 369.21, 508.78 and 258.49

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Solution

The fourth proportional to 369.21, 508.78 and 258.49 is: 356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.21 : 508.78 = 258.49 : x
  2. Step 2: Convert to fraction form
    369.21/508.78 = 258.49/x
  3. Step 3: Cross multiply
    369.21x = 508.78 × 258.49
  4. Step 4: Simplify right side
    369.21x = 131,515.50
  5. Step 5: Solve for x
    x = 131,515.50/369.21
  6. Step 6: Final answer
    x = 356.21

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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.