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Finding the Fourth Proportional to 279.40, 417.21 and 228.14

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Solution

The fourth proportional to 279.40, 417.21 and 228.14 is: 340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.40 : 417.21 = 228.14 : x
  2. Step 2: Convert to fraction form
    279.40/417.21 = 228.14/x
  3. Step 3: Cross multiply
    279.40x = 417.21 × 228.14
  4. Step 4: Simplify right side
    279.40x = 95,181.45
  5. Step 5: Solve for x
    x = 95,181.45/279.40
  6. Step 6: Final answer
    x = 340.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.