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Finding the Fourth Proportional to 304.12, 420.10 and 216.60

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Solution

The fourth proportional to 304.12, 420.10 and 216.60 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.12 : 420.10 = 216.60 : x
  2. Step 2: Convert to fraction form
    304.12/420.10 = 216.60/x
  3. Step 3: Cross multiply
    304.12x = 420.10 × 216.60
  4. Step 4: Simplify right side
    304.12x = 90,993.66
  5. Step 5: Solve for x
    x = 90,993.66/304.12
  6. Step 6: Final answer
    x = 299.20

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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.