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Finding the Fourth Proportional to 210.60, 314.82 and 162

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Solution

The fourth proportional to 210.60, 314.82 and 162 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.60 : 314.82 = 162 : x
  2. Step 2: Convert to fraction form
    210.60/314.82 = 162/x
  3. Step 3: Cross multiply
    210.60x = 314.82 × 162
  4. Step 4: Simplify right side
    210.60x = 51,000.84
  5. Step 5: Solve for x
    x = 51,000.84/210.60
  6. Step 6: Final answer
    x = 242.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.