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Finding the Fourth Proportional to 281.96, 417.18 and 281.15

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Solution

The fourth proportional to 281.96, 417.18 and 281.15 is: 415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.96 : 417.18 = 281.15 : x
  2. Step 2: Convert to fraction form
    281.96/417.18 = 281.15/x
  3. Step 3: Cross multiply
    281.96x = 417.18 × 281.15
  4. Step 4: Simplify right side
    281.96x = 117,288.07
  5. Step 5: Solve for x
    x = 117,288.07/281.96
  6. Step 6: Final answer
    x = 415.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.