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Finding the Fourth Proportional to 435.29, 600.66 and 260.60

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Solution

The fourth proportional to 435.29, 600.66 and 260.60 is: 359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.29 : 600.66 = 260.60 : x
  2. Step 2: Convert to fraction form
    435.29/600.66 = 260.60/x
  3. Step 3: Cross multiply
    435.29x = 600.66 × 260.60
  4. Step 4: Simplify right side
    435.29x = 156,528.99
  5. Step 5: Solve for x
    x = 156,528.99/435.29
  6. Step 6: Final answer
    x = 359.60

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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.