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Finding the Fourth Proportional to 229.54, 314.69 and 225.45

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Solution

The fourth proportional to 229.54, 314.69 and 225.45 is: 309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.54 : 314.69 = 225.45 : x
  2. Step 2: Convert to fraction form
    229.54/314.69 = 225.45/x
  3. Step 3: Cross multiply
    229.54x = 314.69 × 225.45
  4. Step 4: Simplify right side
    229.54x = 70,946.86
  5. Step 5: Solve for x
    x = 70,946.86/229.54
  6. Step 6: Final answer
    x = 309.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.