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Finding the Fourth Proportional to 926.48, 1,390.02 and 310.21

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Solution

The fourth proportional to 926.48, 1,390.02 and 310.21 is: 465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.48 : 1,390.02 = 310.21 : x
  2. Step 2: Convert to fraction form
    926.48/1,390.02 = 310.21/x
  3. Step 3: Cross multiply
    926.48x = 1,390.02 × 310.21
  4. Step 4: Simplify right side
    926.48x = 431,198.10
  5. Step 5: Solve for x
    x = 431,198.10/926.48
  6. Step 6: Final answer
    x = 465.42

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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.