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Finding the Fourth Proportional to 280.05, 386.50 and 162.04

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Solution

The fourth proportional to 280.05, 386.50 and 162.04 is: 223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.05 : 386.50 = 162.04 : x
  2. Step 2: Convert to fraction form
    280.05/386.50 = 162.04/x
  3. Step 3: Cross multiply
    280.05x = 386.50 × 162.04
  4. Step 4: Simplify right side
    280.05x = 62,626.53
  5. Step 5: Solve for x
    x = 62,626.53/280.05
  6. Step 6: Final answer
    x = 223.63

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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.