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Finding the Fourth Proportional to 392.68, 586.14 and 341.68

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Solution

The fourth proportional to 392.68, 586.14 and 341.68 is: 510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.68 : 586.14 = 341.68 : x
  2. Step 2: Convert to fraction form
    392.68/586.14 = 341.68/x
  3. Step 3: Cross multiply
    392.68x = 586.14 × 341.68
  4. Step 4: Simplify right side
    392.68x = 200,272.32
  5. Step 5: Solve for x
    x = 200,272.32/392.68
  6. Step 6: Final answer
    x = 510.01

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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.