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Finding the Fourth Proportional to 281.23, 421.30 and 184.75

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Solution

The fourth proportional to 281.23, 421.30 and 184.75 is: 276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.23 : 421.30 = 184.75 : x
  2. Step 2: Convert to fraction form
    281.23/421.30 = 184.75/x
  3. Step 3: Cross multiply
    281.23x = 421.30 × 184.75
  4. Step 4: Simplify right side
    281.23x = 77,835.18
  5. Step 5: Solve for x
    x = 77,835.18/281.23
  6. Step 6: Final answer
    x = 276.77

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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.