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Finding the Fourth Proportional to 312.95, 431.87 and 188.64

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Solution

The fourth proportional to 312.95, 431.87 and 188.64 is: 260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.95 : 431.87 = 188.64 : x
  2. Step 2: Convert to fraction form
    312.95/431.87 = 188.64/x
  3. Step 3: Cross multiply
    312.95x = 431.87 × 188.64
  4. Step 4: Simplify right side
    312.95x = 81,467.96
  5. Step 5: Solve for x
    x = 81,467.96/312.95
  6. Step 6: Final answer
    x = 260.32

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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.