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Finding the Fourth Proportional to 353.72, 530.50 and 137.28

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Solution

The fourth proportional to 353.72, 530.50 and 137.28 is: 205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.72 : 530.50 = 137.28 : x
  2. Step 2: Convert to fraction form
    353.72/530.50 = 137.28/x
  3. Step 3: Cross multiply
    353.72x = 530.50 × 137.28
  4. Step 4: Simplify right side
    353.72x = 72,827.04
  5. Step 5: Solve for x
    x = 72,827.04/353.72
  6. Step 6: Final answer
    x = 205.89

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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.