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Finding the Fourth Proportional to 281.48, 421.98 and 135.15

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Solution

The fourth proportional to 281.48, 421.98 and 135.15 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.48 : 421.98 = 135.15 : x
  2. Step 2: Convert to fraction form
    281.48/421.98 = 135.15/x
  3. Step 3: Cross multiply
    281.48x = 421.98 × 135.15
  4. Step 4: Simplify right side
    281.48x = 57,030.60
  5. Step 5: Solve for x
    x = 57,030.60/281.48
  6. Step 6: Final answer
    x = 202.61

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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.