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Finding the Fourth Proportional to 283.99, 427.93 and 233.76

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Solution

The fourth proportional to 283.99, 427.93 and 233.76 is: 352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.99 : 427.93 = 233.76 : x
  2. Step 2: Convert to fraction form
    283.99/427.93 = 233.76/x
  3. Step 3: Cross multiply
    283.99x = 427.93 × 233.76
  4. Step 4: Simplify right side
    283.99x = 100,032.92
  5. Step 5: Solve for x
    x = 100,032.92/283.99
  6. Step 6: Final answer
    x = 352.24

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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.