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Finding the Fourth Proportional to 430.25, 593.19 and 351.49

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Solution

The fourth proportional to 430.25, 593.19 and 351.49 is: 484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.25 : 593.19 = 351.49 : x
  2. Step 2: Convert to fraction form
    430.25/593.19 = 351.49/x
  3. Step 3: Cross multiply
    430.25x = 593.19 × 351.49
  4. Step 4: Simplify right side
    430.25x = 208,497.39
  5. Step 5: Solve for x
    x = 208,497.39/430.25
  6. Step 6: Final answer
    x = 484.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.