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Finding the Fourth Proportional to 352.19, 486.35 and 264.71

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Solution

The fourth proportional to 352.19, 486.35 and 264.71 is: 365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.19 : 486.35 = 264.71 : x
  2. Step 2: Convert to fraction form
    352.19/486.35 = 264.71/x
  3. Step 3: Cross multiply
    352.19x = 486.35 × 264.71
  4. Step 4: Simplify right side
    352.19x = 128,741.71
  5. Step 5: Solve for x
    x = 128,741.71/352.19
  6. Step 6: Final answer
    x = 365.55

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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.