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Finding the Fourth Proportional to 494.19, 740.40 and 356.58

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Solution

The fourth proportional to 494.19, 740.40 and 356.58 is: 534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.19 : 740.40 = 356.58 : x
  2. Step 2: Convert to fraction form
    494.19/740.40 = 356.58/x
  3. Step 3: Cross multiply
    494.19x = 740.40 × 356.58
  4. Step 4: Simplify right side
    494.19x = 264,011.83
  5. Step 5: Solve for x
    x = 264,011.83/494.19
  6. Step 6: Final answer
    x = 534.23

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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.