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Finding the Fourth Proportional to 210.02, 314.61 and 161.69

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Solution

The fourth proportional to 210.02, 314.61 and 161.69 is: 242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.02 : 314.61 = 161.69 : x
  2. Step 2: Convert to fraction form
    210.02/314.61 = 161.69/x
  3. Step 3: Cross multiply
    210.02x = 314.61 × 161.69
  4. Step 4: Simplify right side
    210.02x = 50,869.29
  5. Step 5: Solve for x
    x = 50,869.29/210.02
  6. Step 6: Final answer
    x = 242.21

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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.