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Finding the Fourth Proportional to 346.87, 478.45 and 273.16

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Solution

The fourth proportional to 346.87, 478.45 and 273.16 is: 376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.87 : 478.45 = 273.16 : x
  2. Step 2: Convert to fraction form
    346.87/478.45 = 273.16/x
  3. Step 3: Cross multiply
    346.87x = 478.45 × 273.16
  4. Step 4: Simplify right side
    346.87x = 130,693.40
  5. Step 5: Solve for x
    x = 130,693.40/346.87
  6. Step 6: Final answer
    x = 376.78

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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.