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Finding the Fourth Proportional to 346.60, 477.66 and 324.28

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Solution

The fourth proportional to 346.60, 477.66 and 324.28 is: 446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.60 : 477.66 = 324.28 : x
  2. Step 2: Convert to fraction form
    346.60/477.66 = 324.28/x
  3. Step 3: Cross multiply
    346.60x = 477.66 × 324.28
  4. Step 4: Simplify right side
    346.60x = 154,895.58
  5. Step 5: Solve for x
    x = 154,895.58/346.60
  6. Step 6: Final answer
    x = 446.90

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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.