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Finding the Fourth Proportional to 382.85, 528.15 and 258.55

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Solution

The fourth proportional to 382.85, 528.15 and 258.55 is: 356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.85 : 528.15 = 258.55 : x
  2. Step 2: Convert to fraction form
    382.85/528.15 = 258.55/x
  3. Step 3: Cross multiply
    382.85x = 528.15 × 258.55
  4. Step 4: Simplify right side
    382.85x = 136,551.02
  5. Step 5: Solve for x
    x = 136,551.02/382.85
  6. Step 6: Final answer
    x = 356.67

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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.