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Finding the Fourth Proportional to 374.95, 516 and 347.41

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Solution

The fourth proportional to 374.95, 516 and 347.41 is: 478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.95 : 516 = 347.41 : x
  2. Step 2: Convert to fraction form
    374.95/516 = 347.41/x
  3. Step 3: Cross multiply
    374.95x = 516 × 347.41
  4. Step 4: Simplify right side
    374.95x = 179,263.56
  5. Step 5: Solve for x
    x = 179,263.56/374.95
  6. Step 6: Final answer
    x = 478.10

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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.