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Finding the Fourth Proportional to 283.69, 393.43 and 265.87

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Solution

The fourth proportional to 283.69, 393.43 and 265.87 is: 368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.69 : 393.43 = 265.87 : x
  2. Step 2: Convert to fraction form
    283.69/393.43 = 265.87/x
  3. Step 3: Cross multiply
    283.69x = 393.43 × 265.87
  4. Step 4: Simplify right side
    283.69x = 104,601.23
  5. Step 5: Solve for x
    x = 104,601.23/283.69
  6. Step 6: Final answer
    x = 368.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.