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Finding the Fourth Proportional to 228.48, 313.08 and 228.12

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Solution

The fourth proportional to 228.48, 313.08 and 228.12 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.48 : 313.08 = 228.12 : x
  2. Step 2: Convert to fraction form
    228.48/313.08 = 228.12/x
  3. Step 3: Cross multiply
    228.48x = 313.08 × 228.12
  4. Step 4: Simplify right side
    228.48x = 71,419.81
  5. Step 5: Solve for x
    x = 71,419.81/228.48
  6. Step 6: Final answer
    x = 312.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.