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Finding the Fourth Proportional to 316.24, 436.08 and 257.92

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Solution

The fourth proportional to 316.24, 436.08 and 257.92 is: 355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.24 : 436.08 = 257.92 : x
  2. Step 2: Convert to fraction form
    316.24/436.08 = 257.92/x
  3. Step 3: Cross multiply
    316.24x = 436.08 × 257.92
  4. Step 4: Simplify right side
    316.24x = 112,473.75
  5. Step 5: Solve for x
    x = 112,473.75/316.24
  6. Step 6: Final answer
    x = 355.66

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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.