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Finding the Fourth Proportional to 316, 436.10 and 178

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Solution

The fourth proportional to 316, 436.10 and 178 is: 245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    316 : 436.10 = 178 : x
  2. Step 2: Convert to fraction form
    316/436.10 = 178/x
  3. Step 3: Cross multiply
    316x = 436.10 × 178
  4. Step 4: Simplify right side
    316x = 77,625.80
  5. Step 5: Solve for x
    x = 77,625.80/316
  6. Step 6: Final answer
    x = 245.65

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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.