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Finding the Fourth Proportional to 897.46, 1,346.19 and 281.21

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Solution

The fourth proportional to 897.46, 1,346.19 and 281.21 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.46 : 1,346.19 = 281.21 : x
  2. Step 2: Convert to fraction form
    897.46/1,346.19 = 281.21/x
  3. Step 3: Cross multiply
    897.46x = 1,346.19 × 281.21
  4. Step 4: Simplify right side
    897.46x = 378,563.89
  5. Step 5: Solve for x
    x = 378,563.89/897.46
  6. Step 6: Final answer
    x = 421.82

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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.