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Finding the Fourth Proportional to 434.26, 598.80 and 329.32

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Solution

The fourth proportional to 434.26, 598.80 and 329.32 is: 454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 598.80 = 329.32 : x
  2. Step 2: Convert to fraction form
    434.26/598.80 = 329.32/x
  3. Step 3: Cross multiply
    434.26x = 598.80 × 329.32
  4. Step 4: Simplify right side
    434.26x = 197,196.82
  5. Step 5: Solve for x
    x = 197,196.82/434.26
  6. Step 6: Final answer
    x = 454.10

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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.