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Finding the Fourth Proportional to 310.08, 427.95 and 179.06

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Solution

The fourth proportional to 310.08, 427.95 and 179.06 is: 247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.08 : 427.95 = 179.06 : x
  2. Step 2: Convert to fraction form
    310.08/427.95 = 179.06/x
  3. Step 3: Cross multiply
    310.08x = 427.95 × 179.06
  4. Step 4: Simplify right side
    310.08x = 76,629.23
  5. Step 5: Solve for x
    x = 76,629.23/310.08
  6. Step 6: Final answer
    x = 247.13

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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.