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Finding the Fourth Proportional to 316.09, 474.13 and 142.84

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Solution

The fourth proportional to 316.09, 474.13 and 142.84 is: 214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 474.13 = 142.84 : x
  2. Step 2: Convert to fraction form
    316.09/474.13 = 142.84/x
  3. Step 3: Cross multiply
    316.09x = 474.13 × 142.84
  4. Step 4: Simplify right side
    316.09x = 67,722.36
  5. Step 5: Solve for x
    x = 67,722.36/316.09
  6. Step 6: Final answer
    x = 214.25

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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.