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Finding the Fourth Proportional to 540.62, 746.20 and 319.58

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Solution

The fourth proportional to 540.62, 746.20 and 319.58 is: 441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.62 : 746.20 = 319.58 : x
  2. Step 2: Convert to fraction form
    540.62/746.20 = 319.58/x
  3. Step 3: Cross multiply
    540.62x = 746.20 × 319.58
  4. Step 4: Simplify right side
    540.62x = 238,466.07
  5. Step 5: Solve for x
    x = 238,466.07/540.62
  6. Step 6: Final answer
    x = 441.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.