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Finding the Fourth Proportional to 281.24, 421.50 and 127.16

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Solution

The fourth proportional to 281.24, 421.50 and 127.16 is: 190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.24 : 421.50 = 127.16 : x
  2. Step 2: Convert to fraction form
    281.24/421.50 = 127.16/x
  3. Step 3: Cross multiply
    281.24x = 421.50 × 127.16
  4. Step 4: Simplify right side
    281.24x = 53,597.94
  5. Step 5: Solve for x
    x = 53,597.94/281.24
  6. Step 6: Final answer
    x = 190.58

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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.