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Finding the Fourth Proportional to 316.52, 436.80 and 176.64

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Solution

The fourth proportional to 316.52, 436.80 and 176.64 is: 243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.52 : 436.80 = 176.64 : x
  2. Step 2: Convert to fraction form
    316.52/436.80 = 176.64/x
  3. Step 3: Cross multiply
    316.52x = 436.80 × 176.64
  4. Step 4: Simplify right side
    316.52x = 77,156.35
  5. Step 5: Solve for x
    x = 77,156.35/316.52
  6. Step 6: Final answer
    x = 243.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.