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Finding the Fourth Proportional to 316.08, 436.64 and 257.76

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Solution

The fourth proportional to 316.08, 436.64 and 257.76 is: 356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 436.64 = 257.76 : x
  2. Step 2: Convert to fraction form
    316.08/436.64 = 257.76/x
  3. Step 3: Cross multiply
    316.08x = 436.64 × 257.76
  4. Step 4: Simplify right side
    316.08x = 112,548.33
  5. Step 5: Solve for x
    x = 112,548.33/316.08
  6. Step 6: Final answer
    x = 356.08

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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.