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Finding the Fourth Proportional to 356.40, 493.98 and 349.92

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Solution

The fourth proportional to 356.40, 493.98 and 349.92 is: 485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 493.98 = 349.92 : x
  2. Step 2: Convert to fraction form
    356.40/493.98 = 349.92/x
  3. Step 3: Cross multiply
    356.40x = 493.98 × 349.92
  4. Step 4: Simplify right side
    356.40x = 172,853.48
  5. Step 5: Solve for x
    x = 172,853.48/356.40
  6. Step 6: Final answer
    x = 485.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.