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Finding the Fourth Proportional to 374.09, 558.77 and 319.41

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Solution

The fourth proportional to 374.09, 558.77 and 319.41 is: 477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.09 : 558.77 = 319.41 : x
  2. Step 2: Convert to fraction form
    374.09/558.77 = 319.41/x
  3. Step 3: Cross multiply
    374.09x = 558.77 × 319.41
  4. Step 4: Simplify right side
    374.09x = 178,475.13
  5. Step 5: Solve for x
    x = 178,475.13/374.09
  6. Step 6: Final answer
    x = 477.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.