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Finding the Fourth Proportional to 927, 1,390.50 and 350.10

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Solution

The fourth proportional to 927, 1,390.50 and 350.10 is: 525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    927 : 1,390.50 = 350.10 : x
  2. Step 2: Convert to fraction form
    927/1,390.50 = 350.10/x
  3. Step 3: Cross multiply
    927x = 1,390.50 × 350.10
  4. Step 4: Simplify right side
    927x = 486,814.05
  5. Step 5: Solve for x
    x = 486,814.05/927
  6. Step 6: Final answer
    x = 525.15

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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.