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Finding the Fourth Proportional to 210.18, 314.91 and 133.14

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Solution

The fourth proportional to 210.18, 314.91 and 133.14 is: 199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.18 : 314.91 = 133.14 : x
  2. Step 2: Convert to fraction form
    210.18/314.91 = 133.14/x
  3. Step 3: Cross multiply
    210.18x = 314.91 × 133.14
  4. Step 4: Simplify right side
    210.18x = 41,927.12
  5. Step 5: Solve for x
    x = 41,927.12/210.18
  6. Step 6: Final answer
    x = 199.48

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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.