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Finding the Fourth Proportional to 287.75, 397.61 and 285.93

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Solution

The fourth proportional to 287.75, 397.61 and 285.93 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.75 : 397.61 = 285.93 : x
  2. Step 2: Convert to fraction form
    287.75/397.61 = 285.93/x
  3. Step 3: Cross multiply
    287.75x = 397.61 × 285.93
  4. Step 4: Simplify right side
    287.75x = 113,688.27
  5. Step 5: Solve for x
    x = 113,688.27/287.75
  6. Step 6: Final answer
    x = 395.09

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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.