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Finding the Fourth Proportional to 354.23, 530.86 and 159.29

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Solution

The fourth proportional to 354.23, 530.86 and 159.29 is: 238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.23 : 530.86 = 159.29 : x
  2. Step 2: Convert to fraction form
    354.23/530.86 = 159.29/x
  3. Step 3: Cross multiply
    354.23x = 530.86 × 159.29
  4. Step 4: Simplify right side
    354.23x = 84,557.24
  5. Step 5: Solve for x
    x = 84,557.24/354.23
  6. Step 6: Final answer
    x = 238.71

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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.