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Finding the Fourth Proportional to 228.10, 314.78 and 134.84

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Solution

The fourth proportional to 228.10, 314.78 and 134.84 is: 186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.10 : 314.78 = 134.84 : x
  2. Step 2: Convert to fraction form
    228.10/314.78 = 134.84/x
  3. Step 3: Cross multiply
    228.10x = 314.78 × 134.84
  4. Step 4: Simplify right side
    228.10x = 42,444.94
  5. Step 5: Solve for x
    x = 42,444.94/228.10
  6. Step 6: Final answer
    x = 186.08

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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.