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Finding the Fourth Proportional to 208.18, 286.96 and 155.93

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Solution

The fourth proportional to 208.18, 286.96 and 155.93 is: 214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.18 : 286.96 = 155.93 : x
  2. Step 2: Convert to fraction form
    208.18/286.96 = 155.93/x
  3. Step 3: Cross multiply
    208.18x = 286.96 × 155.93
  4. Step 4: Simplify right side
    208.18x = 44,744.89
  5. Step 5: Solve for x
    x = 44,744.89/208.18
  6. Step 6: Final answer
    x = 214.94

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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.