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Finding the Fourth Proportional to 283.82, 393.60 and 266.00

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Solution

The fourth proportional to 283.82, 393.60 and 266.00 is: 368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.82 : 393.60 = 266.00 : x
  2. Step 2: Convert to fraction form
    283.82/393.60 = 266.00/x
  3. Step 3: Cross multiply
    283.82x = 393.60 × 266.00
  4. Step 4: Simplify right side
    283.82x = 104,696.63
  5. Step 5: Solve for x
    x = 104,696.63/283.82
  6. Step 6: Final answer
    x = 368.89

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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.