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Finding the Fourth Proportional to 210.78, 292.50 and 204.72

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Solution

The fourth proportional to 210.78, 292.50 and 204.72 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.78 : 292.50 = 204.72 : x
  2. Step 2: Convert to fraction form
    210.78/292.50 = 204.72/x
  3. Step 3: Cross multiply
    210.78x = 292.50 × 204.72
  4. Step 4: Simplify right side
    210.78x = 59,880.60
  5. Step 5: Solve for x
    x = 59,880.60/210.78
  6. Step 6: Final answer
    x = 284.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.