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Finding the Fourth Proportional to 392.74, 586.46 and 341.51

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Solution

The fourth proportional to 392.74, 586.46 and 341.51 is: 509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.74 : 586.46 = 341.51 : x
  2. Step 2: Convert to fraction form
    392.74/586.46 = 341.51/x
  3. Step 3: Cross multiply
    392.74x = 586.46 × 341.51
  4. Step 4: Simplify right side
    392.74x = 200,279.88
  5. Step 5: Solve for x
    x = 200,279.88/392.74
  6. Step 6: Final answer
    x = 509.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.