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Finding the Fourth Proportional to 228.00, 314.59 and 134.68

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Solution

The fourth proportional to 228.00, 314.59 and 134.68 is: 185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.00 : 314.59 = 134.68 : x
  2. Step 2: Convert to fraction form
    228.00/314.59 = 134.68/x
  3. Step 3: Cross multiply
    228.00x = 314.59 × 134.68
  4. Step 4: Simplify right side
    228.00x = 42,369.94
  5. Step 5: Solve for x
    x = 42,369.94/228.00
  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.