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Finding the Fourth Proportional to 310.87, 464.31 and 281.54

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Solution

The fourth proportional to 310.87, 464.31 and 281.54 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.87 : 464.31 = 281.54 : x
  2. Step 2: Convert to fraction form
    310.87/464.31 = 281.54/x
  3. Step 3: Cross multiply
    310.87x = 464.31 × 281.54
  4. Step 4: Simplify right side
    310.87x = 130,721.84
  5. Step 5: Solve for x
    x = 130,721.84/310.87
  6. Step 6: Final answer
    x = 420.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.