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Finding the Fourth Proportional to 314.90, 433.72 and 273.46

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Solution

The fourth proportional to 314.90, 433.72 and 273.46 is: 376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.90 : 433.72 = 273.46 : x
  2. Step 2: Convert to fraction form
    314.90/433.72 = 273.46/x
  3. Step 3: Cross multiply
    314.90x = 433.72 × 273.46
  4. Step 4: Simplify right side
    314.90x = 118,605.07
  5. Step 5: Solve for x
    x = 118,605.07/314.90
  6. Step 6: Final answer
    x = 376.64

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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.