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Finding the Fourth Proportional to 375.24, 562.48 and 212.58

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Solution

The fourth proportional to 375.24, 562.48 and 212.58 is: 318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.24 : 562.48 = 212.58 : x
  2. Step 2: Convert to fraction form
    375.24/562.48 = 212.58/x
  3. Step 3: Cross multiply
    375.24x = 562.48 × 212.58
  4. Step 4: Simplify right side
    375.24x = 119,571.47
  5. Step 5: Solve for x
    x = 119,571.47/375.24
  6. Step 6: Final answer
    x = 318.65

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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.