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Finding the Fourth Proportional to 312.36, 466.35 and 281.64

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Solution

The fourth proportional to 312.36, 466.35 and 281.64 is: 420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 466.35 = 281.64 : x
  2. Step 2: Convert to fraction form
    312.36/466.35 = 281.64/x
  3. Step 3: Cross multiply
    312.36x = 466.35 × 281.64
  4. Step 4: Simplify right side
    312.36x = 131,342.81
  5. Step 5: Solve for x
    x = 131,342.81/312.36
  6. Step 6: Final answer
    x = 420.49

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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.