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Finding the Fourth Proportional to 255.36, 384.40 and 232.68

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Solution

The fourth proportional to 255.36, 384.40 and 232.68 is: 350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.36 : 384.40 = 232.68 : x
  2. Step 2: Convert to fraction form
    255.36/384.40 = 232.68/x
  3. Step 3: Cross multiply
    255.36x = 384.40 × 232.68
  4. Step 4: Simplify right side
    255.36x = 89,442.19
  5. Step 5: Solve for x
    x = 89,442.19/255.36
  6. Step 6: Final answer
    x = 350.26

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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.