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Finding the Fourth Proportional to 316.47, 436.69 and 176.55

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Solution

The fourth proportional to 316.47, 436.69 and 176.55 is: 243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.47 : 436.69 = 176.55 : x
  2. Step 2: Convert to fraction form
    316.47/436.69 = 176.55/x
  3. Step 3: Cross multiply
    316.47x = 436.69 × 176.55
  4. Step 4: Simplify right side
    316.47x = 77,097.18
  5. Step 5: Solve for x
    x = 77,097.18/316.47
  6. Step 6: Final answer
    x = 243.62

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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.