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Finding the Fourth Proportional to 494.30, 740.24 and 356.70

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Solution

The fourth proportional to 494.30, 740.24 and 356.70 is: 534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.30 : 740.24 = 356.70 : x
  2. Step 2: Convert to fraction form
    494.30/740.24 = 356.70/x
  3. Step 3: Cross multiply
    494.30x = 740.24 × 356.70
  4. Step 4: Simplify right side
    494.30x = 264,045.94
  5. Step 5: Solve for x
    x = 264,045.94/494.30
  6. Step 6: Final answer
    x = 534.18

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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.