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Finding the Fourth Proportional to 431.74, 596.07 and 274.46

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Solution

The fourth proportional to 431.74, 596.07 and 274.46 is: 378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 596.07 = 274.46 : x
  2. Step 2: Convert to fraction form
    431.74/596.07 = 274.46/x
  3. Step 3: Cross multiply
    431.74x = 596.07 × 274.46
  4. Step 4: Simplify right side
    431.74x = 163,597.37
  5. Step 5: Solve for x
    x = 163,597.37/431.74
  6. Step 6: Final answer
    x = 378.93

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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.