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Finding the Fourth Proportional to 393.80, 542.28 and 283.10

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Solution

The fourth proportional to 393.80, 542.28 and 283.10 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.80 : 542.28 = 283.10 : x
  2. Step 2: Convert to fraction form
    393.80/542.28 = 283.10/x
  3. Step 3: Cross multiply
    393.80x = 542.28 × 283.10
  4. Step 4: Simplify right side
    393.80x = 153,519.47
  5. Step 5: Solve for x
    x = 153,519.47/393.80
  6. Step 6: Final answer
    x = 389.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.