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Finding the Fourth Proportional to 280.02, 386.81 and 255.08

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Solution

The fourth proportional to 280.02, 386.81 and 255.08 is: 352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 386.81 = 255.08 : x
  2. Step 2: Convert to fraction form
    280.02/386.81 = 255.08/x
  3. Step 3: Cross multiply
    280.02x = 386.81 × 255.08
  4. Step 4: Simplify right side
    280.02x = 98,666.69
  5. Step 5: Solve for x
    x = 98,666.69/280.02
  6. Step 6: Final answer
    x = 352.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.