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Finding the Fourth Proportional to 245.29, 365.87 and 228.28

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Solution

The fourth proportional to 245.29, 365.87 and 228.28 is: 340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.29 : 365.87 = 228.28 : x
  2. Step 2: Convert to fraction form
    245.29/365.87 = 228.28/x
  3. Step 3: Cross multiply
    245.29x = 365.87 × 228.28
  4. Step 4: Simplify right side
    245.29x = 83,518.75
  5. Step 5: Solve for x
    x = 83,518.75/245.29
  6. Step 6: Final answer
    x = 340.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.