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Finding the Fourth Proportional to 346.96, 479.48 and 310.05

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Solution

The fourth proportional to 346.96, 479.48 and 310.05 is: 428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.96 : 479.48 = 310.05 : x
  2. Step 2: Convert to fraction form
    346.96/479.48 = 310.05/x
  3. Step 3: Cross multiply
    346.96x = 479.48 × 310.05
  4. Step 4: Simplify right side
    346.96x = 148,662.77
  5. Step 5: Solve for x
    x = 148,662.77/346.96
  6. Step 6: Final answer
    x = 428.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.