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Finding the Fourth Proportional to 210, 313.56 and 179.58

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Solution

The fourth proportional to 210, 313.56 and 179.58 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210 : 313.56 = 179.58 : x
  2. Step 2: Convert to fraction form
    210/313.56 = 179.58/x
  3. Step 3: Cross multiply
    210x = 313.56 × 179.58
  4. Step 4: Simplify right side
    210x = 56,309.10
  5. Step 5: Solve for x
    x = 56,309.10/210
  6. Step 6: Final answer
    x = 268.14

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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.