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Finding the Fourth Proportional to 466.76, 699.08 and 312.31

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Solution

The fourth proportional to 466.76, 699.08 and 312.31 is: 467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.76 : 699.08 = 312.31 : x
  2. Step 2: Convert to fraction form
    466.76/699.08 = 312.31/x
  3. Step 3: Cross multiply
    466.76x = 699.08 × 312.31
  4. Step 4: Simplify right side
    466.76x = 218,326.81
  5. Step 5: Solve for x
    x = 218,326.81/466.76
  6. Step 6: Final answer
    x = 467.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.