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Finding the Fourth Proportional to 210.16, 288.54 and 185.73

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Solution

The fourth proportional to 210.16, 288.54 and 185.73 is: 255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.16 : 288.54 = 185.73 : x
  2. Step 2: Convert to fraction form
    210.16/288.54 = 185.73/x
  3. Step 3: Cross multiply
    210.16x = 288.54 × 185.73
  4. Step 4: Simplify right side
    210.16x = 53,590.53
  5. Step 5: Solve for x
    x = 53,590.53/210.16
  6. Step 6: Final answer
    x = 255.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.