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Finding the Fourth Proportional to 345.35, 516.84 and 215.30

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Solution

The fourth proportional to 345.35, 516.84 and 215.30 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.35 : 516.84 = 215.30 : x
  2. Step 2: Convert to fraction form
    345.35/516.84 = 215.30/x
  3. Step 3: Cross multiply
    345.35x = 516.84 × 215.30
  4. Step 4: Simplify right side
    345.35x = 111,275.65
  5. Step 5: Solve for x
    x = 111,275.65/345.35
  6. Step 6: Final answer
    x = 322.21

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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.