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Finding the Fourth Proportional to 313.00, 432.07 and 213.94

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Solution

The fourth proportional to 313.00, 432.07 and 213.94 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.00 : 432.07 = 213.94 : x
  2. Step 2: Convert to fraction form
    313.00/432.07 = 213.94/x
  3. Step 3: Cross multiply
    313.00x = 432.07 × 213.94
  4. Step 4: Simplify right side
    313.00x = 92,437.06
  5. Step 5: Solve for x
    x = 92,437.06/313.00
  6. Step 6: Final answer
    x = 295.33

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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.