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Finding the Fourth Proportional to 428.54, 642.53 and 197.77

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Solution

The fourth proportional to 428.54, 642.53 and 197.77 is: 296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.54 : 642.53 = 197.77 : x
  2. Step 2: Convert to fraction form
    428.54/642.53 = 197.77/x
  3. Step 3: Cross multiply
    428.54x = 642.53 × 197.77
  4. Step 4: Simplify right side
    428.54x = 127,071.44
  5. Step 5: Solve for x
    x = 127,071.44/428.54
  6. Step 6: Final answer
    x = 296.52

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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.