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Finding the Fourth Proportional to 228.32, 313.00 and 224.18

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Solution

The fourth proportional to 228.32, 313.00 and 224.18 is: 307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.32 : 313.00 = 224.18 : x
  2. Step 2: Convert to fraction form
    228.32/313.00 = 224.18/x
  3. Step 3: Cross multiply
    228.32x = 313.00 × 224.18
  4. Step 4: Simplify right side
    228.32x = 70,167.22
  5. Step 5: Solve for x
    x = 70,167.22/228.32
  6. Step 6: Final answer
    x = 307.32

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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.