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Finding the Fourth Proportional to 395.64, 546.20 and 316.80

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Solution

The fourth proportional to 395.64, 546.20 and 316.80 is: 437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 546.20 = 316.80 : x
  2. Step 2: Convert to fraction form
    395.64/546.20 = 316.80/x
  3. Step 3: Cross multiply
    395.64x = 546.20 × 316.80
  4. Step 4: Simplify right side
    395.64x = 173,036.95
  5. Step 5: Solve for x
    x = 173,036.95/395.64
  6. Step 6: Final answer
    x = 437.36

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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.