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Finding the Fourth Proportional to 393.40, 587.28 and 366.07

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Solution

The fourth proportional to 393.40, 587.28 and 366.07 is: 546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.40 : 587.28 = 366.07 : x
  2. Step 2: Convert to fraction form
    393.40/587.28 = 366.07/x
  3. Step 3: Cross multiply
    393.40x = 587.28 × 366.07
  4. Step 4: Simplify right side
    393.40x = 214,985.59
  5. Step 5: Solve for x
    x = 214,985.59/393.40
  6. Step 6: Final answer
    x = 546.48

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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.