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Finding the Fourth Proportional to 494.12, 741.54 and 340.40

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Solution

The fourth proportional to 494.12, 741.54 and 340.40 is: 510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.12 : 741.54 = 340.40 : x
  2. Step 2: Convert to fraction form
    494.12/741.54 = 340.40/x
  3. Step 3: Cross multiply
    494.12x = 741.54 × 340.40
  4. Step 4: Simplify right side
    494.12x = 252,420.22
  5. Step 5: Solve for x
    x = 252,420.22/494.12
  6. Step 6: Final answer
    x = 510.85

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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.