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Finding the Fourth Proportional to 393.19, 589.28 and 210.20

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Solution

The fourth proportional to 393.19, 589.28 and 210.20 is: 315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.19 : 589.28 = 210.20 : x
  2. Step 2: Convert to fraction form
    393.19/589.28 = 210.20/x
  3. Step 3: Cross multiply
    393.19x = 589.28 × 210.20
  4. Step 4: Simplify right side
    393.19x = 123,862.66
  5. Step 5: Solve for x
    x = 123,862.66/393.19
  6. Step 6: Final answer
    x = 315.02

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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.