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Finding the Fourth Proportional to 434.98, 600.27 and 238.50

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Solution

The fourth proportional to 434.98, 600.27 and 238.50 is: 329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.98 : 600.27 = 238.50 : x
  2. Step 2: Convert to fraction form
    434.98/600.27 = 238.50/x
  3. Step 3: Cross multiply
    434.98x = 600.27 × 238.50
  4. Step 4: Simplify right side
    434.98x = 143,164.40
  5. Step 5: Solve for x
    x = 143,164.40/434.98
  6. Step 6: Final answer
    x = 329.13

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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.