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Finding the Fourth Proportional to 350.21, 527.61 and 265.25

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Solution

The fourth proportional to 350.21, 527.61 and 265.25 is: 399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.21 : 527.61 = 265.25 : x
  2. Step 2: Convert to fraction form
    350.21/527.61 = 265.25/x
  3. Step 3: Cross multiply
    350.21x = 527.61 × 265.25
  4. Step 4: Simplify right side
    350.21x = 139,947.89
  5. Step 5: Solve for x
    x = 139,947.89/350.21
  6. Step 6: Final answer
    x = 399.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.