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Finding the Fourth Proportional to 392.55, 586.53 and 378.93

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Solution

The fourth proportional to 392.55, 586.53 and 378.93 is: 566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.55 : 586.53 = 378.93 : x
  2. Step 2: Convert to fraction form
    392.55/586.53 = 378.93/x
  3. Step 3: Cross multiply
    392.55x = 586.53 × 378.93
  4. Step 4: Simplify right side
    392.55x = 222,251.92
  5. Step 5: Solve for x
    x = 222,251.92/392.55
  6. Step 6: Final answer
    x = 566.17

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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.