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Finding the Fourth Proportional to 412.18, 620.35 and 310

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Solution

The fourth proportional to 412.18, 620.35 and 310 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.18 : 620.35 = 310 : x
  2. Step 2: Convert to fraction form
    412.18/620.35 = 310/x
  3. Step 3: Cross multiply
    412.18x = 620.35 × 310
  4. Step 4: Simplify right side
    412.18x = 192,308.50
  5. Step 5: Solve for x
    x = 192,308.50/412.18
  6. Step 6: Final answer
    x = 466.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.