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Finding the Fourth Proportional to 352.13, 524.79 and 349.26

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Solution

The fourth proportional to 352.13, 524.79 and 349.26 is: 520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.13 : 524.79 = 349.26 : x
  2. Step 2: Convert to fraction form
    352.13/524.79 = 349.26/x
  3. Step 3: Cross multiply
    352.13x = 524.79 × 349.26
  4. Step 4: Simplify right side
    352.13x = 183,288.16
  5. Step 5: Solve for x
    x = 183,288.16/352.13
  6. Step 6: Final answer
    x = 520.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.