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Finding the Fourth Proportional to 353.65, 530.34 and 137.20

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Solution

The fourth proportional to 353.65, 530.34 and 137.20 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.65 : 530.34 = 137.20 : x
  2. Step 2: Convert to fraction form
    353.65/530.34 = 137.20/x
  3. Step 3: Cross multiply
    353.65x = 530.34 × 137.20
  4. Step 4: Simplify right side
    353.65x = 72,762.65
  5. Step 5: Solve for x
    x = 72,762.65/353.65
  6. Step 6: Final answer
    x = 205.75

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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.