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Finding the Fourth Proportional to 442.16, 662.76 and 312.15

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Solution

The fourth proportional to 442.16, 662.76 and 312.15 is: 467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 662.76 = 312.15 : x
  2. Step 2: Convert to fraction form
    442.16/662.76 = 312.15/x
  3. Step 3: Cross multiply
    442.16x = 662.76 × 312.15
  4. Step 4: Simplify right side
    442.16x = 206,880.53
  5. Step 5: Solve for x
    x = 206,880.53/442.16
  6. Step 6: Final answer
    x = 467.89

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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.