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Finding the Fourth Proportional to 1,346.42, 2,019.40 and 372.30

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Solution

The fourth proportional to 1,346.42, 2,019.40 and 372.30 is: 558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.42 : 2,019.40 = 372.30 : x
  2. Step 2: Convert to fraction form
    1,346.42/2,019.40 = 372.30/x
  3. Step 3: Cross multiply
    1,346.42x = 2,019.40 × 372.30
  4. Step 4: Simplify right side
    1,346.42x = 751,822.62
  5. Step 5: Solve for x
    x = 751,822.62/1,346.42
  6. Step 6: Final answer
    x = 558.39

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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.