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Finding the Fourth Proportional to 312.04, 465.89 and 281.80

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Solution

The fourth proportional to 312.04, 465.89 and 281.80 is: 420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.04 : 465.89 = 281.80 : x
  2. Step 2: Convert to fraction form
    312.04/465.89 = 281.80/x
  3. Step 3: Cross multiply
    312.04x = 465.89 × 281.80
  4. Step 4: Simplify right side
    312.04x = 131,287.80
  5. Step 5: Solve for x
    x = 131,287.80/312.04
  6. Step 6: Final answer
    x = 420.74

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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.