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Finding the Fourth Proportional to 346.60, 478.31 and 189.24

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Solution

The fourth proportional to 346.60, 478.31 and 189.24 is: 261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.60 : 478.31 = 189.24 : x
  2. Step 2: Convert to fraction form
    346.60/478.31 = 189.24/x
  3. Step 3: Cross multiply
    346.60x = 478.31 × 189.24
  4. Step 4: Simplify right side
    346.60x = 90,515.38
  5. Step 5: Solve for x
    x = 90,515.38/346.60
  6. Step 6: Final answer
    x = 261.15

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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.