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Finding the Fourth Proportional to 345.59, 473.24 and 331.82

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Solution

The fourth proportional to 345.59, 473.24 and 331.82 is: 454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.59 : 473.24 = 331.82 : x
  2. Step 2: Convert to fraction form
    345.59/473.24 = 331.82/x
  3. Step 3: Cross multiply
    345.59x = 473.24 × 331.82
  4. Step 4: Simplify right side
    345.59x = 157,030.50
  5. Step 5: Solve for x
    x = 157,030.50/345.59
  6. Step 6: Final answer
    x = 454.38

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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.