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Finding the Fourth Proportional to 283.65, 393.08 and 278.18

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Solution

The fourth proportional to 283.65, 393.08 and 278.18 is: 385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.65 : 393.08 = 278.18 : x
  2. Step 2: Convert to fraction form
    283.65/393.08 = 278.18/x
  3. Step 3: Cross multiply
    283.65x = 393.08 × 278.18
  4. Step 4: Simplify right side
    283.65x = 109,343.64
  5. Step 5: Solve for x
    x = 109,343.64/283.65
  6. Step 6: Final answer
    x = 385.49

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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.