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Finding the Fourth Proportional to 345.60, 518.31 and 291.11

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Solution

The fourth proportional to 345.60, 518.31 and 291.11 is: 436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 518.31 = 291.11 : x
  2. Step 2: Convert to fraction form
    345.60/518.31 = 291.11/x
  3. Step 3: Cross multiply
    345.60x = 518.31 × 291.11
  4. Step 4: Simplify right side
    345.60x = 150,882.63
  5. Step 5: Solve for x
    x = 150,882.63/345.60
  6. Step 6: Final answer
    x = 436.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.