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Finding the Fourth Proportional to 345.96, 474.84 and 310.32

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Solution

The fourth proportional to 345.96, 474.84 and 310.32 is: 425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.96 : 474.84 = 310.32 : x
  2. Step 2: Convert to fraction form
    345.96/474.84 = 310.32/x
  3. Step 3: Cross multiply
    345.96x = 474.84 × 310.32
  4. Step 4: Simplify right side
    345.96x = 147,352.35
  5. Step 5: Solve for x
    x = 147,352.35/345.96
  6. Step 6: Final answer
    x = 425.92

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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.