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Finding the Fourth Proportional to 283.03, 390.80 and 228.02

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Solution

The fourth proportional to 283.03, 390.80 and 228.02 is: 314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.03 : 390.80 = 228.02 : x
  2. Step 2: Convert to fraction form
    283.03/390.80 = 228.02/x
  3. Step 3: Cross multiply
    283.03x = 390.80 × 228.02
  4. Step 4: Simplify right side
    283.03x = 89,110.05
  5. Step 5: Solve for x
    x = 89,110.05/283.03
  6. Step 6: Final answer
    x = 314.85

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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.