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Finding the Fourth Proportional to 374.42, 558.09 and 344.66

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Solution

The fourth proportional to 374.42, 558.09 and 344.66 is: 513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.42 : 558.09 = 344.66 : x
  2. Step 2: Convert to fraction form
    374.42/558.09 = 344.66/x
  3. Step 3: Cross multiply
    374.42x = 558.09 × 344.66
  4. Step 4: Simplify right side
    374.42x = 192,348.51
  5. Step 5: Solve for x
    x = 192,348.51/374.42
  6. Step 6: Final answer
    x = 513.72

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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.