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Finding the Fourth Proportional to 283.09, 390.95 and 282.55

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Solution

The fourth proportional to 283.09, 390.95 and 282.55 is: 390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.09 : 390.95 = 282.55 : x
  2. Step 2: Convert to fraction form
    283.09/390.95 = 282.55/x
  3. Step 3: Cross multiply
    283.09x = 390.95 × 282.55
  4. Step 4: Simplify right side
    283.09x = 110,462.92
  5. Step 5: Solve for x
    x = 110,462.92/283.09
  6. Step 6: Final answer
    x = 390.20

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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.