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Finding the Fourth Proportional to 528.86, 730.08 and 352.11

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Solution

The fourth proportional to 528.86, 730.08 and 352.11 is: 486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.86 : 730.08 = 352.11 : x
  2. Step 2: Convert to fraction form
    528.86/730.08 = 352.11/x
  3. Step 3: Cross multiply
    528.86x = 730.08 × 352.11
  4. Step 4: Simplify right side
    528.86x = 257,071.21
  5. Step 5: Solve for x
    x = 257,071.21/528.86
  6. Step 6: Final answer
    x = 486.09

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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.