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Finding the Fourth Proportional to 352.16, 486.02 and 264.68

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Solution

The fourth proportional to 352.16, 486.02 and 264.68 is: 365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.16 : 486.02 = 264.68 : x
  2. Step 2: Convert to fraction form
    352.16/486.02 = 264.68/x
  3. Step 3: Cross multiply
    352.16x = 486.02 × 264.68
  4. Step 4: Simplify right side
    352.16x = 128,636.02
  5. Step 5: Solve for x
    x = 128,636.02/352.16
  6. Step 6: Final answer
    x = 365.28

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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.