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Finding the Fourth Proportional to 228.07, 312.65 and 223.93

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Solution

The fourth proportional to 228.07, 312.65 and 223.93 is: 306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.07 : 312.65 = 223.93 : x
  2. Step 2: Convert to fraction form
    228.07/312.65 = 223.93/x
  3. Step 3: Cross multiply
    228.07x = 312.65 × 223.93
  4. Step 4: Simplify right side
    228.07x = 70,011.71
  5. Step 5: Solve for x
    x = 70,011.71/228.07
  6. Step 6: Final answer
    x = 306.97

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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.