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Finding the Fourth Proportional to 354.23, 530.09 and 230.76

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Solution

The fourth proportional to 354.23, 530.09 and 230.76 is: 345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.23 : 530.09 = 230.76 : x
  2. Step 2: Convert to fraction form
    354.23/530.09 = 230.76/x
  3. Step 3: Cross multiply
    354.23x = 530.09 × 230.76
  4. Step 4: Simplify right side
    354.23x = 122,321.14
  5. Step 5: Solve for x
    x = 122,321.14/354.23
  6. Step 6: Final answer
    x = 345.31

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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.