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Finding the Fourth Proportional to 374.88, 517.47 and 313.44

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Solution

The fourth proportional to 374.88, 517.47 and 313.44 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.88 : 517.47 = 313.44 : x
  2. Step 2: Convert to fraction form
    374.88/517.47 = 313.44/x
  3. Step 3: Cross multiply
    374.88x = 517.47 × 313.44
  4. Step 4: Simplify right side
    374.88x = 162,195.80
  5. Step 5: Solve for x
    x = 162,195.80/374.88
  6. Step 6: Final answer
    x = 432.66

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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.