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Finding the Fourth Proportional to 282.98, 421.29 and 281.63

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Solution

The fourth proportional to 282.98, 421.29 and 281.63 is: 419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.98 : 421.29 = 281.63 : x
  2. Step 2: Convert to fraction form
    282.98/421.29 = 281.63/x
  3. Step 3: Cross multiply
    282.98x = 421.29 × 281.63
  4. Step 4: Simplify right side
    282.98x = 118,645.80
  5. Step 5: Solve for x
    x = 118,645.80/282.98
  6. Step 6: Final answer
    x = 419.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.