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Finding the Fourth Proportional to 494.11, 740.41 and 357.01

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Solution

The fourth proportional to 494.11, 740.41 and 357.01 is: 534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.11 : 740.41 = 357.01 : x
  2. Step 2: Convert to fraction form
    494.11/740.41 = 357.01/x
  3. Step 3: Cross multiply
    494.11x = 740.41 × 357.01
  4. Step 4: Simplify right side
    494.11x = 264,333.77
  5. Step 5: Solve for x
    x = 264,333.77/494.11
  6. Step 6: Final answer
    x = 534.97

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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.