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Finding the Fourth Proportional to 434.98, 600.33 and 280.18

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Solution

The fourth proportional to 434.98, 600.33 and 280.18 is: 386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.98 : 600.33 = 280.18 : x
  2. Step 2: Convert to fraction form
    434.98/600.33 = 280.18/x
  3. Step 3: Cross multiply
    434.98x = 600.33 × 280.18
  4. Step 4: Simplify right side
    434.98x = 168,200.46
  5. Step 5: Solve for x
    x = 168,200.46/434.98
  6. Step 6: Final answer
    x = 386.69

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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.