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Finding the Fourth Proportional to 355.65, 533.14 and 172.78

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Solution

The fourth proportional to 355.65, 533.14 and 172.78 is: 259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.65 : 533.14 = 172.78 : x
  2. Step 2: Convert to fraction form
    355.65/533.14 = 172.78/x
  3. Step 3: Cross multiply
    355.65x = 533.14 × 172.78
  4. Step 4: Simplify right side
    355.65x = 92,115.93
  5. Step 5: Solve for x
    x = 92,115.93/355.65
  6. Step 6: Final answer
    x = 259.01

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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.