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Finding the Fourth Proportional to 352.80, 500.08 and 352.80

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Solution

The fourth proportional to 352.80, 500.08 and 352.80 is: 500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.80 : 500.08 = 352.80 : x
  2. Step 2: Convert to fraction form
    352.80/500.08 = 352.80/x
  3. Step 3: Cross multiply
    352.80x = 500.08 × 352.80
  4. Step 4: Simplify right side
    352.80x = 176,428.22
  5. Step 5: Solve for x
    x = 176,428.22/352.80
  6. Step 6: Final answer
    x = 500.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.