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Finding the Fourth Proportional to 418.65, 628.10 and 175.24

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Solution

The fourth proportional to 418.65, 628.10 and 175.24 is: 262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.65 : 628.10 = 175.24 : x
  2. Step 2: Convert to fraction form
    418.65/628.10 = 175.24/x
  3. Step 3: Cross multiply
    418.65x = 628.10 × 175.24
  4. Step 4: Simplify right side
    418.65x = 110,068.24
  5. Step 5: Solve for x
    x = 110,068.24/418.65
  6. Step 6: Final answer
    x = 262.91

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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.