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Finding the Fourth Proportional to 593.91, 891.27 and 209.16

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Solution

The fourth proportional to 593.91, 891.27 and 209.16 is: 313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.91 : 891.27 = 209.16 : x
  2. Step 2: Convert to fraction form
    593.91/891.27 = 209.16/x
  3. Step 3: Cross multiply
    593.91x = 891.27 × 209.16
  4. Step 4: Simplify right side
    593.91x = 186,418.03
  5. Step 5: Solve for x
    x = 186,418.03/593.91
  6. Step 6: Final answer
    x = 313.88

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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.