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Finding the Fourth Proportional to 286.23, 428.40 and 155.93

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Solution

The fourth proportional to 286.23, 428.40 and 155.93 is: 233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.23 : 428.40 = 155.93 : x
  2. Step 2: Convert to fraction form
    286.23/428.40 = 155.93/x
  3. Step 3: Cross multiply
    286.23x = 428.40 × 155.93
  4. Step 4: Simplify right side
    286.23x = 66,798.27
  5. Step 5: Solve for x
    x = 66,798.27/286.23
  6. Step 6: Final answer
    x = 233.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.