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Finding the Fourth Proportional to 255.24, 384.96 and 252.51

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Solution

The fourth proportional to 255.24, 384.96 and 252.51 is: 380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 384.96 = 252.51 : x
  2. Step 2: Convert to fraction form
    255.24/384.96 = 252.51/x
  3. Step 3: Cross multiply
    255.24x = 384.96 × 252.51
  4. Step 4: Simplify right side
    255.24x = 97,206.25
  5. Step 5: Solve for x
    x = 97,206.25/255.24
  6. Step 6: Final answer
    x = 380.84

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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.