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Finding the Fourth Proportional to 343.41, 514.50 and 285.31

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Solution

The fourth proportional to 343.41, 514.50 and 285.31 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.41 : 514.50 = 285.31 : x
  2. Step 2: Convert to fraction form
    343.41/514.50 = 285.31/x
  3. Step 3: Cross multiply
    343.41x = 514.50 × 285.31
  4. Step 4: Simplify right side
    343.41x = 146,792.00
  5. Step 5: Solve for x
    x = 146,792.00/343.41
  6. Step 6: Final answer
    x = 427.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.