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Finding the Fourth Proportional to 210.10, 313.48 and 189.66

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Solution

The fourth proportional to 210.10, 313.48 and 189.66 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.10 : 313.48 = 189.66 : x
  2. Step 2: Convert to fraction form
    210.10/313.48 = 189.66/x
  3. Step 3: Cross multiply
    210.10x = 313.48 × 189.66
  4. Step 4: Simplify right side
    210.10x = 59,454.62
  5. Step 5: Solve for x
    x = 59,454.62/210.10
  6. Step 6: Final answer
    x = 282.98

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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.