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Finding the Fourth Proportional to 352.88, 526.73 and 328.12

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Solution

The fourth proportional to 352.88, 526.73 and 328.12 is: 489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.88 : 526.73 = 328.12 : x
  2. Step 2: Convert to fraction form
    352.88/526.73 = 328.12/x
  3. Step 3: Cross multiply
    352.88x = 526.73 × 328.12
  4. Step 4: Simplify right side
    352.88x = 172,829.01
  5. Step 5: Solve for x
    x = 172,829.01/352.88
  6. Step 6: Final answer
    x = 489.77

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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.