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Finding the Fourth Proportional to 316.14, 435.40 and 299.67

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Solution

The fourth proportional to 316.14, 435.40 and 299.67 is: 412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.14 : 435.40 = 299.67 : x
  2. Step 2: Convert to fraction form
    316.14/435.40 = 299.67/x
  3. Step 3: Cross multiply
    316.14x = 435.40 × 299.67
  4. Step 4: Simplify right side
    316.14x = 130,476.32
  5. Step 5: Solve for x
    x = 130,476.32/316.14
  6. Step 6: Final answer
    x = 412.72

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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.