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Finding the Fourth Proportional to 374.94, 513.54 and 352.80

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Solution

The fourth proportional to 374.94, 513.54 and 352.80 is: 483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.94 : 513.54 = 352.80 : x
  2. Step 2: Convert to fraction form
    374.94/513.54 = 352.80/x
  3. Step 3: Cross multiply
    374.94x = 513.54 × 352.80
  4. Step 4: Simplify right side
    374.94x = 181,176.91
  5. Step 5: Solve for x
    x = 181,176.91/374.94
  6. Step 6: Final answer
    x = 483.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.