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Finding the Fourth Proportional to 345.09, 514.34 and 325.63

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Solution

The fourth proportional to 345.09, 514.34 and 325.63 is: 485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.09 : 514.34 = 325.63 : x
  2. Step 2: Convert to fraction form
    345.09/514.34 = 325.63/x
  3. Step 3: Cross multiply
    345.09x = 514.34 × 325.63
  4. Step 4: Simplify right side
    345.09x = 167,486.60
  5. Step 5: Solve for x
    x = 167,486.60/345.09
  6. Step 6: Final answer
    x = 485.34

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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.