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Finding the Fourth Proportional to 210.03, 314.90 and 188.43

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Solution

The fourth proportional to 210.03, 314.90 and 188.43 is: 282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.03 : 314.90 = 188.43 : x
  2. Step 2: Convert to fraction form
    210.03/314.90 = 188.43/x
  3. Step 3: Cross multiply
    210.03x = 314.90 × 188.43
  4. Step 4: Simplify right side
    210.03x = 59,335.03
  5. Step 5: Solve for x
    x = 59,335.03/210.03
  6. Step 6: Final answer
    x = 282.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.