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Finding the Fourth Proportional to 281.94, 420.26 and 281.53

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Solution

The fourth proportional to 281.94, 420.26 and 281.53 is: 419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 420.26 = 281.53 : x
  2. Step 2: Convert to fraction form
    281.94/420.26 = 281.53/x
  3. Step 3: Cross multiply
    281.94x = 420.26 × 281.53
  4. Step 4: Simplify right side
    281.94x = 118,315.80
  5. Step 5: Solve for x
    x = 118,315.80/281.94
  6. Step 6: Final answer
    x = 419.65

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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.