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Finding the Fourth Proportional to 312.36, 431.00 and 188.00

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Solution

The fourth proportional to 312.36, 431.00 and 188.00 is: 259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 431.00 = 188.00 : x
  2. Step 2: Convert to fraction form
    312.36/431.00 = 188.00/x
  3. Step 3: Cross multiply
    312.36x = 431.00 × 188.00
  4. Step 4: Simplify right side
    312.36x = 81,030.71
  5. Step 5: Solve for x
    x = 81,030.71/312.36
  6. Step 6: Final answer
    x = 259.42

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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.