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Finding the Fourth Proportional to 352.44, 530.73 and 261.81

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Solution

The fourth proportional to 352.44, 530.73 and 261.81 is: 394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.44 : 530.73 = 261.81 : x
  2. Step 2: Convert to fraction form
    352.44/530.73 = 261.81/x
  3. Step 3: Cross multiply
    352.44x = 530.73 × 261.81
  4. Step 4: Simplify right side
    352.44x = 138,950.42
  5. Step 5: Solve for x
    x = 138,950.42/352.44
  6. Step 6: Final answer
    x = 394.25

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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.