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Finding the Fourth Proportional to 228.84, 340.47 and 215.88

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Solution

The fourth proportional to 228.84, 340.47 and 215.88 is: 321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.84 : 340.47 = 215.88 : x
  2. Step 2: Convert to fraction form
    228.84/340.47 = 215.88/x
  3. Step 3: Cross multiply
    228.84x = 340.47 × 215.88
  4. Step 4: Simplify right side
    228.84x = 73,500.66
  5. Step 5: Solve for x
    x = 73,500.66/228.84
  6. Step 6: Final answer
    x = 321.19

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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.