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Finding the Fourth Proportional to 291.10, 437.05 and 230.30

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Solution

The fourth proportional to 291.10, 437.05 and 230.30 is: 345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.10 : 437.05 = 230.30 : x
  2. Step 2: Convert to fraction form
    291.10/437.05 = 230.30/x
  3. Step 3: Cross multiply
    291.10x = 437.05 × 230.30
  4. Step 4: Simplify right side
    291.10x = 100,652.62
  5. Step 5: Solve for x
    x = 100,652.62/291.10
  6. Step 6: Final answer
    x = 345.77

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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.