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Finding the Fourth Proportional to 397.68, 593.69 and 336.16

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Solution

The fourth proportional to 397.68, 593.69 and 336.16 is: 501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 593.69 = 336.16 : x
  2. Step 2: Convert to fraction form
    397.68/593.69 = 336.16/x
  3. Step 3: Cross multiply
    397.68x = 593.69 × 336.16
  4. Step 4: Simplify right side
    397.68x = 199,574.83
  5. Step 5: Solve for x
    x = 199,574.83/397.68
  6. Step 6: Final answer
    x = 501.85

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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.