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Finding the Fourth Proportional to 210.27, 315.58 and 133.37

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Solution

The fourth proportional to 210.27, 315.58 and 133.37 is: 200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.27 : 315.58 = 133.37 : x
  2. Step 2: Convert to fraction form
    210.27/315.58 = 133.37/x
  3. Step 3: Cross multiply
    210.27x = 315.58 × 133.37
  4. Step 4: Simplify right side
    210.27x = 42,088.90
  5. Step 5: Solve for x
    x = 42,088.90/210.27
  6. Step 6: Final answer
    x = 200.17

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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.