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Finding the Fourth Proportional to 210.34, 315.44 and 142.24

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Solution

The fourth proportional to 210.34, 315.44 and 142.24 is: 213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.34 : 315.44 = 142.24 : x
  2. Step 2: Convert to fraction form
    210.34/315.44 = 142.24/x
  3. Step 3: Cross multiply
    210.34x = 315.44 × 142.24
  4. Step 4: Simplify right side
    210.34x = 44,868.19
  5. Step 5: Solve for x
    x = 44,868.19/210.34
  6. Step 6: Final answer
    x = 213.31

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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.