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Finding the Fourth Proportional to 345.27, 514.62 and 325.83

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Solution

The fourth proportional to 345.27, 514.62 and 325.83 is: 485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.27 : 514.62 = 325.83 : x
  2. Step 2: Convert to fraction form
    345.27/514.62 = 325.83/x
  3. Step 3: Cross multiply
    345.27x = 514.62 × 325.83
  4. Step 4: Simplify right side
    345.27x = 167,678.63
  5. Step 5: Solve for x
    x = 167,678.63/345.27
  6. Step 6: Final answer
    x = 485.64

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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.