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Finding the Fourth Proportional to 212.30, 292.74 and 184.42

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Solution

The fourth proportional to 212.30, 292.74 and 184.42 is: 254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.30 : 292.74 = 184.42 : x
  2. Step 2: Convert to fraction form
    212.30/292.74 = 184.42/x
  3. Step 3: Cross multiply
    212.30x = 292.74 × 184.42
  4. Step 4: Simplify right side
    212.30x = 53,985.69
  5. Step 5: Solve for x
    x = 53,985.69/212.30
  6. Step 6: Final answer
    x = 254.30

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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.