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Finding the Fourth Proportional to 345.52, 473.96 and 338.32

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Solution

The fourth proportional to 345.52, 473.96 and 338.32 is: 464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 473.96 = 338.32 : x
  2. Step 2: Convert to fraction form
    345.52/473.96 = 338.32/x
  3. Step 3: Cross multiply
    345.52x = 473.96 × 338.32
  4. Step 4: Simplify right side
    345.52x = 160,350.15
  5. Step 5: Solve for x
    x = 160,350.15/345.52
  6. Step 6: Final answer
    x = 464.08

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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.