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Finding the Fourth Proportional to 310.74, 428.46 and 258.35

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Solution

The fourth proportional to 310.74, 428.46 and 258.35 is: 356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 428.46 = 258.35 : x
  2. Step 2: Convert to fraction form
    310.74/428.46 = 258.35/x
  3. Step 3: Cross multiply
    310.74x = 428.46 × 258.35
  4. Step 4: Simplify right side
    310.74x = 110,690.50
  5. Step 5: Solve for x
    x = 110,690.50/310.74
  6. Step 6: Final answer
    x = 356.22

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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.