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Finding the Fourth Proportional to 255.16, 384.34 and 239.78

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Solution

The fourth proportional to 255.16, 384.34 and 239.78 is: 361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.16 : 384.34 = 239.78 : x
  2. Step 2: Convert to fraction form
    255.16/384.34 = 239.78/x
  3. Step 3: Cross multiply
    255.16x = 384.34 × 239.78
  4. Step 4: Simplify right side
    255.16x = 92,157.05
  5. Step 5: Solve for x
    x = 92,157.05/255.16
  6. Step 6: Final answer
    x = 361.18

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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.