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Finding the Fourth Proportional to 283.68, 390.56 and 267.84

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Solution

The fourth proportional to 283.68, 390.56 and 267.84 is: 368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.68 : 390.56 = 267.84 : x
  2. Step 2: Convert to fraction form
    283.68/390.56 = 267.84/x
  3. Step 3: Cross multiply
    283.68x = 390.56 × 267.84
  4. Step 4: Simplify right side
    283.68x = 104,607.59
  5. Step 5: Solve for x
    x = 104,607.59/283.68
  6. Step 6: Final answer
    x = 368.75

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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.