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Finding the Fourth Proportional to 345.68, 515.21 and 330.42

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Solution

The fourth proportional to 345.68, 515.21 and 330.42 is: 492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.68 : 515.21 = 330.42 : x
  2. Step 2: Convert to fraction form
    345.68/515.21 = 330.42/x
  3. Step 3: Cross multiply
    345.68x = 515.21 × 330.42
  4. Step 4: Simplify right side
    345.68x = 170,235.69
  5. Step 5: Solve for x
    x = 170,235.69/345.68
  6. Step 6: Final answer
    x = 492.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.