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Finding the Fourth Proportional to 845.22, 1,267.82 and 228.99

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Solution

The fourth proportional to 845.22, 1,267.82 and 228.99 is: 343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.22 : 1,267.82 = 228.99 : x
  2. Step 2: Convert to fraction form
    845.22/1,267.82 = 228.99/x
  3. Step 3: Cross multiply
    845.22x = 1,267.82 × 228.99
  4. Step 4: Simplify right side
    845.22x = 290,312.34
  5. Step 5: Solve for x
    x = 290,312.34/845.22
  6. Step 6: Final answer
    x = 343.48

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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.