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Finding the Fourth Proportional to 281.04, 421.59 and 105.40

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Solution

The fourth proportional to 281.04, 421.59 and 105.40 is: 158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.04 : 421.59 = 105.40 : x
  2. Step 2: Convert to fraction form
    281.04/421.59 = 105.40/x
  3. Step 3: Cross multiply
    281.04x = 421.59 × 105.40
  4. Step 4: Simplify right side
    281.04x = 44,433.84
  5. Step 5: Solve for x
    x = 44,433.84/281.04
  6. Step 6: Final answer
    x = 158.11

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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.