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Finding the Fourth Proportional to 228, 314.54 and 134.70

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Solution

The fourth proportional to 228, 314.54 and 134.70 is: 185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228 : 314.54 = 134.70 : x
  2. Step 2: Convert to fraction form
    228/314.54 = 134.70/x
  3. Step 3: Cross multiply
    228x = 314.54 × 134.70
  4. Step 4: Simplify right side
    228x = 42,368.54
  5. Step 5: Solve for x
    x = 42,368.54/228
  6. Step 6: Final answer
    x = 185.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.