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Finding the Fourth Proportional to 210.20, 313.52 and 190.76

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Solution

The fourth proportional to 210.20, 313.52 and 190.76 is: 284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.20 : 313.52 = 190.76 : x
  2. Step 2: Convert to fraction form
    210.20/313.52 = 190.76/x
  3. Step 3: Cross multiply
    210.20x = 313.52 × 190.76
  4. Step 4: Simplify right side
    210.20x = 59,807.08
  5. Step 5: Solve for x
    x = 59,807.08/210.20
  6. Step 6: Final answer
    x = 284.52

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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.