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Finding the Fourth Proportional to 316.64, 435.88 and 261.28

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Solution

The fourth proportional to 316.64, 435.88 and 261.28 is: 359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.64 : 435.88 = 261.28 : x
  2. Step 2: Convert to fraction form
    316.64/435.88 = 261.28/x
  3. Step 3: Cross multiply
    316.64x = 435.88 × 261.28
  4. Step 4: Simplify right side
    316.64x = 113,886.73
  5. Step 5: Solve for x
    x = 113,886.73/316.64
  6. Step 6: Final answer
    x = 359.67

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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.