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Finding the Fourth Proportional to 393.24, 585.50 and 392.03

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Solution

The fourth proportional to 393.24, 585.50 and 392.03 is: 583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 585.50 = 392.03 : x
  2. Step 2: Convert to fraction form
    393.24/585.50 = 392.03/x
  3. Step 3: Cross multiply
    393.24x = 585.50 × 392.03
  4. Step 4: Simplify right side
    393.24x = 229,533.57
  5. Step 5: Solve for x
    x = 229,533.57/393.24
  6. Step 6: Final answer
    x = 583.70

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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.