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Finding the Fourth Proportional to 467.50, 699.50 and 345.06

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Solution

The fourth proportional to 467.50, 699.50 and 345.06 is: 516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.50 : 699.50 = 345.06 : x
  2. Step 2: Convert to fraction form
    467.50/699.50 = 345.06/x
  3. Step 3: Cross multiply
    467.50x = 699.50 × 345.06
  4. Step 4: Simplify right side
    467.50x = 241,369.47
  5. Step 5: Solve for x
    x = 241,369.47/467.50
  6. Step 6: Final answer
    x = 516.30

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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.