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Finding the Fourth Proportional to 281.40, 419.79 and 256.92

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Solution

The fourth proportional to 281.40, 419.79 and 256.92 is: 383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 419.79 = 256.92 : x
  2. Step 2: Convert to fraction form
    281.40/419.79 = 256.92/x
  3. Step 3: Cross multiply
    281.40x = 419.79 × 256.92
  4. Step 4: Simplify right side
    281.40x = 107,852.45
  5. Step 5: Solve for x
    x = 107,852.45/281.40
  6. Step 6: Final answer
    x = 383.27

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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.