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Finding the Fourth Proportional to 845.30, 1,267.85 and 228.98

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Solution

The fourth proportional to 845.30, 1,267.85 and 228.98 is: 343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.30 : 1,267.85 = 228.98 : x
  2. Step 2: Convert to fraction form
    845.30/1,267.85 = 228.98/x
  3. Step 3: Cross multiply
    845.30x = 1,267.85 × 228.98
  4. Step 4: Simplify right side
    845.30x = 290,305.95
  5. Step 5: Solve for x
    x = 290,305.95/845.30
  6. Step 6: Final answer
    x = 343.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.