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Finding the Fourth Proportional to 434.80, 600.09 and 260.18

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Solution

The fourth proportional to 434.80, 600.09 and 260.18 is: 359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.80 : 600.09 = 260.18 : x
  2. Step 2: Convert to fraction form
    434.80/600.09 = 260.18/x
  3. Step 3: Cross multiply
    434.80x = 600.09 × 260.18
  4. Step 4: Simplify right side
    434.80x = 156,128.42
  5. Step 5: Solve for x
    x = 156,128.42/434.80
  6. Step 6: Final answer
    x = 359.09

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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.