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Finding the Fourth Proportional to 281.42, 421.64 and 184.02

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Solution

The fourth proportional to 281.42, 421.64 and 184.02 is: 275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.42 : 421.64 = 184.02 : x
  2. Step 2: Convert to fraction form
    281.42/421.64 = 184.02/x
  3. Step 3: Cross multiply
    281.42x = 421.64 × 184.02
  4. Step 4: Simplify right side
    281.42x = 77,590.19
  5. Step 5: Solve for x
    x = 77,590.19/281.42
  6. Step 6: Final answer
    x = 275.71

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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.