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Finding the Fourth Proportional to 210.93, 314.83 and 186.63

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Solution

The fourth proportional to 210.93, 314.83 and 186.63 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 314.83 = 186.63 : x
  2. Step 2: Convert to fraction form
    210.93/314.83 = 186.63/x
  3. Step 3: Cross multiply
    210.93x = 314.83 × 186.63
  4. Step 4: Simplify right side
    210.93x = 58,756.72
  5. Step 5: Solve for x
    x = 58,756.72/210.93
  6. Step 6: Final answer
    x = 278.56

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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.