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Finding the Fourth Proportional to 210.99, 314.82 and 186.37

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Solution

The fourth proportional to 210.99, 314.82 and 186.37 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.99 : 314.82 = 186.37 : x
  2. Step 2: Convert to fraction form
    210.99/314.82 = 186.37/x
  3. Step 3: Cross multiply
    210.99x = 314.82 × 186.37
  4. Step 4: Simplify right side
    210.99x = 58,672.07
  5. Step 5: Solve for x
    x = 58,672.07/210.99
  6. Step 6: Final answer
    x = 278.08

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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.