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Finding the Fourth Proportional to 355.13, 532.94 and 172.65

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Solution

The fourth proportional to 355.13, 532.94 and 172.65 is: 259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.13 : 532.94 = 172.65 : x
  2. Step 2: Convert to fraction form
    355.13/532.94 = 172.65/x
  3. Step 3: Cross multiply
    355.13x = 532.94 × 172.65
  4. Step 4: Simplify right side
    355.13x = 92,013.71
  5. Step 5: Solve for x
    x = 92,013.71/355.13
  6. Step 6: Final answer
    x = 259.10

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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.