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Finding the Fourth Proportional to 316.02, 474.22 and 216.07

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Solution

The fourth proportional to 316.02, 474.22 and 216.07 is: 324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.02 : 474.22 = 216.07 : x
  2. Step 2: Convert to fraction form
    316.02/474.22 = 216.07/x
  3. Step 3: Cross multiply
    316.02x = 474.22 × 216.07
  4. Step 4: Simplify right side
    316.02x = 102,461.26
  5. Step 5: Solve for x
    x = 102,461.26/316.02
  6. Step 6: Final answer
    x = 324.23

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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.