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Finding the Fourth Proportional to 435.06, 600.48 and 260.51

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Solution

The fourth proportional to 435.06, 600.48 and 260.51 is: 359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.06 : 600.48 = 260.51 : x
  2. Step 2: Convert to fraction form
    435.06/600.48 = 260.51/x
  3. Step 3: Cross multiply
    435.06x = 600.48 × 260.51
  4. Step 4: Simplify right side
    435.06x = 156,428.04
  5. Step 5: Solve for x
    x = 156,428.04/435.06
  6. Step 6: Final answer
    x = 359.56

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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.