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Finding the Fourth Proportional to 283.16, 390.48 and 278.84

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Solution

The fourth proportional to 283.16, 390.48 and 278.84 is: 384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.16 : 390.48 = 278.84 : x
  2. Step 2: Convert to fraction form
    283.16/390.48 = 278.84/x
  3. Step 3: Cross multiply
    283.16x = 390.48 × 278.84
  4. Step 4: Simplify right side
    283.16x = 108,881.44
  5. Step 5: Solve for x
    x = 108,881.44/283.16
  6. Step 6: Final answer
    x = 384.52

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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.