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Finding the Fourth Proportional to 464.48, 696.88 and 208.16

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Solution

The fourth proportional to 464.48, 696.88 and 208.16 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.48 : 696.88 = 208.16 : x
  2. Step 2: Convert to fraction form
    464.48/696.88 = 208.16/x
  3. Step 3: Cross multiply
    464.48x = 696.88 × 208.16
  4. Step 4: Simplify right side
    464.48x = 145,062.54
  5. Step 5: Solve for x
    x = 145,062.54/464.48
  6. Step 6: Final answer
    x = 312.31

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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.