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Finding the Fourth Proportional to 316.08, 436.14 and 228.78

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Solution

The fourth proportional to 316.08, 436.14 and 228.78 is: 315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 436.14 = 228.78 : x
  2. Step 2: Convert to fraction form
    316.08/436.14 = 228.78/x
  3. Step 3: Cross multiply
    316.08x = 436.14 × 228.78
  4. Step 4: Simplify right side
    316.08x = 99,780.11
  5. Step 5: Solve for x
    x = 99,780.11/316.08
  6. Step 6: Final answer
    x = 315.68

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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.