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Finding the Fourth Proportional to 482.84, 666.89 and 352.43

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Solution

The fourth proportional to 482.84, 666.89 and 352.43 is: 486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.84 : 666.89 = 352.43 : x
  2. Step 2: Convert to fraction form
    482.84/666.89 = 352.43/x
  3. Step 3: Cross multiply
    482.84x = 666.89 × 352.43
  4. Step 4: Simplify right side
    482.84x = 235,032.04
  5. Step 5: Solve for x
    x = 235,032.04/482.84
  6. Step 6: Final answer
    x = 486.77

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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.