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Finding the Fourth Proportional to 316.34, 473.97 and 172.16

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Solution

The fourth proportional to 316.34, 473.97 and 172.16 is: 257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.34 : 473.97 = 172.16 : x
  2. Step 2: Convert to fraction form
    316.34/473.97 = 172.16/x
  3. Step 3: Cross multiply
    316.34x = 473.97 × 172.16
  4. Step 4: Simplify right side
    316.34x = 81,598.68
  5. Step 5: Solve for x
    x = 81,598.68/316.34
  6. Step 6: Final answer
    x = 257.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.