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Finding the Fourth Proportional to 285.93, 394.86 and 218.52

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Solution

The fourth proportional to 285.93, 394.86 and 218.52 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.93 : 394.86 = 218.52 : x
  2. Step 2: Convert to fraction form
    285.93/394.86 = 218.52/x
  3. Step 3: Cross multiply
    285.93x = 394.86 × 218.52
  4. Step 4: Simplify right side
    285.93x = 86,284.81
  5. Step 5: Solve for x
    x = 86,284.81/285.93
  6. Step 6: Final answer
    x = 301.77

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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.