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Finding the Fourth Proportional to 316.05, 435.85 and 253.88

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Solution

The fourth proportional to 316.05, 435.85 and 253.88 is: 350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.05 : 435.85 = 253.88 : x
  2. Step 2: Convert to fraction form
    316.05/435.85 = 253.88/x
  3. Step 3: Cross multiply
    316.05x = 435.85 × 253.88
  4. Step 4: Simplify right side
    316.05x = 110,653.60
  5. Step 5: Solve for x
    x = 110,653.60/316.05
  6. Step 6: Final answer
    x = 350.11

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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.