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Finding the Fourth Proportional to 255.54, 384.72 and 220.30

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Solution

The fourth proportional to 255.54, 384.72 and 220.30 is: 331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.54 : 384.72 = 220.30 : x
  2. Step 2: Convert to fraction form
    255.54/384.72 = 220.30/x
  3. Step 3: Cross multiply
    255.54x = 384.72 × 220.30
  4. Step 4: Simplify right side
    255.54x = 84,753.82
  5. Step 5: Solve for x
    x = 84,753.82/255.54
  6. Step 6: Final answer
    x = 331.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.