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Finding the Fourth Proportional to 316.16, 435.84 and 257.84

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Solution

The fourth proportional to 316.16, 435.84 and 257.84 is: 355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.16 : 435.84 = 257.84 : x
  2. Step 2: Convert to fraction form
    316.16/435.84 = 257.84/x
  3. Step 3: Cross multiply
    316.16x = 435.84 × 257.84
  4. Step 4: Simplify right side
    316.16x = 112,376.99
  5. Step 5: Solve for x
    x = 112,376.99/316.16
  6. Step 6: Final answer
    x = 355.44

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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.