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Finding the Fourth Proportional to 255.68, 380.24 and 247.58

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Solution

The fourth proportional to 255.68, 380.24 and 247.58 is: 368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.68 : 380.24 = 247.58 : x
  2. Step 2: Convert to fraction form
    255.68/380.24 = 247.58/x
  3. Step 3: Cross multiply
    255.68x = 380.24 × 247.58
  4. Step 4: Simplify right side
    255.68x = 94,138.58
  5. Step 5: Solve for x
    x = 94,138.58/255.68
  6. Step 6: Final answer
    x = 368.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.