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Finding the Fourth Proportional to 486.41, 670.95 and 309.35

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Solution

The fourth proportional to 486.41, 670.95 and 309.35 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.41 : 670.95 = 309.35 : x
  2. Step 2: Convert to fraction form
    486.41/670.95 = 309.35/x
  3. Step 3: Cross multiply
    486.41x = 670.95 × 309.35
  4. Step 4: Simplify right side
    486.41x = 207,560.06
  5. Step 5: Solve for x
    x = 207,560.06/486.41
  6. Step 6: Final answer
    x = 426.72

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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.