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Finding the Fourth Proportional to 228.84, 340.80 and 227.64

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Solution

The fourth proportional to 228.84, 340.80 and 227.64 is: 339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.84 : 340.80 = 227.64 : x
  2. Step 2: Convert to fraction form
    228.84/340.80 = 227.64/x
  3. Step 3: Cross multiply
    228.84x = 340.80 × 227.64
  4. Step 4: Simplify right side
    228.84x = 77,579.71
  5. Step 5: Solve for x
    x = 77,579.71/228.84
  6. Step 6: Final answer
    x = 339.01

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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.