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Finding the Fourth Proportional to 316.38, 436.47 and 233.68

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Solution

The fourth proportional to 316.38, 436.47 and 233.68 is: 322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.38 : 436.47 = 233.68 : x
  2. Step 2: Convert to fraction form
    316.38/436.47 = 233.68/x
  3. Step 3: Cross multiply
    316.38x = 436.47 × 233.68
  4. Step 4: Simplify right side
    316.38x = 101,994.31
  5. Step 5: Solve for x
    x = 101,994.31/316.38
  6. Step 6: Final answer
    x = 322.38

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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.