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Finding the Fourth Proportional to 283.02, 393.14 and 278.61

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Solution

The fourth proportional to 283.02, 393.14 and 278.61 is: 387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.02 : 393.14 = 278.61 : x
  2. Step 2: Convert to fraction form
    283.02/393.14 = 278.61/x
  3. Step 3: Cross multiply
    283.02x = 393.14 × 278.61
  4. Step 4: Simplify right side
    283.02x = 109,531.34
  5. Step 5: Solve for x
    x = 109,531.34/283.02
  6. Step 6: Final answer
    x = 387.01

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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.