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Finding the Fourth Proportional to 316.16, 472.40 and 219.20

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Solution

The fourth proportional to 316.16, 472.40 and 219.20 is: 327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.16 : 472.40 = 219.20 : x
  2. Step 2: Convert to fraction form
    316.16/472.40 = 219.20/x
  3. Step 3: Cross multiply
    316.16x = 472.40 × 219.20
  4. Step 4: Simplify right side
    316.16x = 103,550.08
  5. Step 5: Solve for x
    x = 103,550.08/316.16
  6. Step 6: Final answer
    x = 327.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.