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Finding the Fourth Proportional to 210.98, 314.92 and 186.35

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Solution

The fourth proportional to 210.98, 314.92 and 186.35 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.98 : 314.92 = 186.35 : x
  2. Step 2: Convert to fraction form
    210.98/314.92 = 186.35/x
  3. Step 3: Cross multiply
    210.98x = 314.92 × 186.35
  4. Step 4: Simplify right side
    210.98x = 58,685.34
  5. Step 5: Solve for x
    x = 58,685.34/210.98
  6. Step 6: Final answer
    x = 278.16

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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.