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Finding the Fourth Proportional to 352.54, 526.14 and 308.42

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Solution

The fourth proportional to 352.54, 526.14 and 308.42 is: 460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.54 : 526.14 = 308.42 : x
  2. Step 2: Convert to fraction form
    352.54/526.14 = 308.42/x
  3. Step 3: Cross multiply
    352.54x = 526.14 × 308.42
  4. Step 4: Simplify right side
    352.54x = 162,272.10
  5. Step 5: Solve for x
    x = 162,272.10/352.54
  6. Step 6: Final answer
    x = 460.29

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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.