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Finding the Fourth Proportional to 280.32, 386.64 and 193.02

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Solution

The fourth proportional to 280.32, 386.64 and 193.02 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 386.64 = 193.02 : x
  2. Step 2: Convert to fraction form
    280.32/386.64 = 193.02/x
  3. Step 3: Cross multiply
    280.32x = 386.64 × 193.02
  4. Step 4: Simplify right side
    280.32x = 74,629.25
  5. Step 5: Solve for x
    x = 74,629.25/280.32
  6. Step 6: Final answer
    x = 266.23

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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.