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Finding the Fourth Proportional to 434.98, 600.30 and 285.69

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Solution

The fourth proportional to 434.98, 600.30 and 285.69 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.98 : 600.30 = 285.69 : x
  2. Step 2: Convert to fraction form
    434.98/600.30 = 285.69/x
  3. Step 3: Cross multiply
    434.98x = 600.30 × 285.69
  4. Step 4: Simplify right side
    434.98x = 171,498.28
  5. Step 5: Solve for x
    x = 171,498.28/434.98
  6. Step 6: Final answer
    x = 394.27

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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.