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Finding the Fourth Proportional to 375.22, 517.48 and 316.50

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Solution

The fourth proportional to 375.22, 517.48 and 316.50 is: 436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.22 : 517.48 = 316.50 : x
  2. Step 2: Convert to fraction form
    375.22/517.48 = 316.50/x
  3. Step 3: Cross multiply
    375.22x = 517.48 × 316.50
  4. Step 4: Simplify right side
    375.22x = 163,782.42
  5. Step 5: Solve for x
    x = 163,782.42/375.22
  6. Step 6: Final answer
    x = 436.50

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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.