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Finding the Fourth Proportional to 210.21, 314.91 and 162.42

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Solution

The fourth proportional to 210.21, 314.91 and 162.42 is: 243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.21 : 314.91 = 162.42 : x
  2. Step 2: Convert to fraction form
    210.21/314.91 = 162.42/x
  3. Step 3: Cross multiply
    210.21x = 314.91 × 162.42
  4. Step 4: Simplify right side
    210.21x = 51,147.68
  5. Step 5: Solve for x
    x = 51,147.68/210.21
  6. Step 6: Final answer
    x = 243.32

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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.