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Finding the Fourth Proportional to 525.40, 725.54 and 339.21

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Solution

The fourth proportional to 525.40, 725.54 and 339.21 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 725.54 = 339.21 : x
  2. Step 2: Convert to fraction form
    525.40/725.54 = 339.21/x
  3. Step 3: Cross multiply
    525.40x = 725.54 × 339.21
  4. Step 4: Simplify right side
    525.40x = 246,110.64
  5. Step 5: Solve for x
    x = 246,110.64/525.40
  6. Step 6: Final answer
    x = 468.42

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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.