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Finding the Fourth Proportional to 228.14, 314.70 and 153.48

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Solution

The fourth proportional to 228.14, 314.70 and 153.48 is: 211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 314.70 = 153.48 : x
  2. Step 2: Convert to fraction form
    228.14/314.70 = 153.48/x
  3. Step 3: Cross multiply
    228.14x = 314.70 × 153.48
  4. Step 4: Simplify right side
    228.14x = 48,300.16
  5. Step 5: Solve for x
    x = 48,300.16/228.14
  6. Step 6: Final answer
    x = 211.71

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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.