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Finding the Fourth Proportional to 228.75, 341.04 and 214.98

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Solution

The fourth proportional to 228.75, 341.04 and 214.98 is: 320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.75 : 341.04 = 214.98 : x
  2. Step 2: Convert to fraction form
    228.75/341.04 = 214.98/x
  3. Step 3: Cross multiply
    228.75x = 341.04 × 214.98
  4. Step 4: Simplify right side
    228.75x = 73,316.78
  5. Step 5: Solve for x
    x = 73,316.78/228.75
  6. Step 6: Final answer
    x = 320.51

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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.