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Finding the Fourth Proportional to 283.93, 427.83 and 233.70

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Solution

The fourth proportional to 283.93, 427.83 and 233.70 is: 352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.93 : 427.83 = 233.70 : x
  2. Step 2: Convert to fraction form
    283.93/427.83 = 233.70/x
  3. Step 3: Cross multiply
    283.93x = 427.83 × 233.70
  4. Step 4: Simplify right side
    283.93x = 99,983.87
  5. Step 5: Solve for x
    x = 99,983.87/283.93
  6. Step 6: Final answer
    x = 352.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.