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Finding the Fourth Proportional to 212.00, 292.49 and 128.01

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Solution

The fourth proportional to 212.00, 292.49 and 128.01 is: 176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.00 : 292.49 = 128.01 : x
  2. Step 2: Convert to fraction form
    212.00/292.49 = 128.01/x
  3. Step 3: Cross multiply
    212.00x = 292.49 × 128.01
  4. Step 4: Simplify right side
    212.00x = 37,441.64
  5. Step 5: Solve for x
    x = 37,441.64/212.00
  6. Step 6: Final answer
    x = 176.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.