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Finding the Fourth Proportional to 281.02, 423.84 and 277.94

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Solution

The fourth proportional to 281.02, 423.84 and 277.94 is: 419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.02 : 423.84 = 277.94 : x
  2. Step 2: Convert to fraction form
    281.02/423.84 = 277.94/x
  3. Step 3: Cross multiply
    281.02x = 423.84 × 277.94
  4. Step 4: Simplify right side
    281.02x = 117,802.09
  5. Step 5: Solve for x
    x = 117,802.09/281.02
  6. Step 6: Final answer
    x = 419.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.