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Finding the Fourth Proportional to 313.64, 431.75 and 258.29

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Solution

The fourth proportional to 313.64, 431.75 and 258.29 is: 355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.64 : 431.75 = 258.29 : x
  2. Step 2: Convert to fraction form
    313.64/431.75 = 258.29/x
  3. Step 3: Cross multiply
    313.64x = 431.75 × 258.29
  4. Step 4: Simplify right side
    313.64x = 111,516.71
  5. Step 5: Solve for x
    x = 111,516.71/313.64
  6. Step 6: Final answer
    x = 355.56

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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.