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Finding the Fourth Proportional to 228.13, 314.78 and 128.52

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Solution

The fourth proportional to 228.13, 314.78 and 128.52 is: 177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.13 : 314.78 = 128.52 : x
  2. Step 2: Convert to fraction form
    228.13/314.78 = 128.52/x
  3. Step 3: Cross multiply
    228.13x = 314.78 × 128.52
  4. Step 4: Simplify right side
    228.13x = 40,455.53
  5. Step 5: Solve for x
    x = 40,455.53/228.13
  6. Step 6: Final answer
    x = 177.34

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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.