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Finding the Fourth Proportional to 285.06, 427.22 and 128.77

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Solution

The fourth proportional to 285.06, 427.22 and 128.77 is: 192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.06 : 427.22 = 128.77 : x
  2. Step 2: Convert to fraction form
    285.06/427.22 = 128.77/x
  3. Step 3: Cross multiply
    285.06x = 427.22 × 128.77
  4. Step 4: Simplify right side
    285.06x = 55,010.34
  5. Step 5: Solve for x
    x = 55,010.34/285.06
  6. Step 6: Final answer
    x = 192.98

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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.