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Finding the Fourth Proportional to 280.01, 386.43 and 155.68

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Solution

The fourth proportional to 280.01, 386.43 and 155.68 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.01 : 386.43 = 155.68 : x
  2. Step 2: Convert to fraction form
    280.01/386.43 = 155.68/x
  3. Step 3: Cross multiply
    280.01x = 386.43 × 155.68
  4. Step 4: Simplify right side
    280.01x = 60,157.87
  5. Step 5: Solve for x
    x = 60,157.87/280.01
  6. Step 6: Final answer
    x = 214.84

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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.