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Finding the Fourth Proportional to 228.16, 314.84 and 128.59

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Solution

The fourth proportional to 228.16, 314.84 and 128.59 is: 177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 314.84 = 128.59 : x
  2. Step 2: Convert to fraction form
    228.16/314.84 = 128.59/x
  3. Step 3: Cross multiply
    228.16x = 314.84 × 128.59
  4. Step 4: Simplify right side
    228.16x = 40,485.28
  5. Step 5: Solve for x
    x = 40,485.28/228.16
  6. Step 6: Final answer
    x = 177.44

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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.