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Finding the Fourth Proportional to 345.78, 473.56 and 325.82

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Solution

The fourth proportional to 345.78, 473.56 and 325.82 is: 446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.78 : 473.56 = 325.82 : x
  2. Step 2: Convert to fraction form
    345.78/473.56 = 325.82/x
  3. Step 3: Cross multiply
    345.78x = 473.56 × 325.82
  4. Step 4: Simplify right side
    345.78x = 154,295.32
  5. Step 5: Solve for x
    x = 154,295.32/345.78
  6. Step 6: Final answer
    x = 446.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.