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Finding the Fourth Proportional to 306.10, 458.19 and 228.62

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Solution

The fourth proportional to 306.10, 458.19 and 228.62 is: 342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.10 : 458.19 = 228.62 : x
  2. Step 2: Convert to fraction form
    306.10/458.19 = 228.62/x
  3. Step 3: Cross multiply
    306.10x = 458.19 × 228.62
  4. Step 4: Simplify right side
    306.10x = 104,751.40
  5. Step 5: Solve for x
    x = 104,751.40/306.10
  6. Step 6: Final answer
    x = 342.21

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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.