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Finding the Fourth Proportional to 355.40, 491.04 and 282.27

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Solution

The fourth proportional to 355.40, 491.04 and 282.27 is: 390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.40 : 491.04 = 282.27 : x
  2. Step 2: Convert to fraction form
    355.40/491.04 = 282.27/x
  3. Step 3: Cross multiply
    355.40x = 491.04 × 282.27
  4. Step 4: Simplify right side
    355.40x = 138,605.86
  5. Step 5: Solve for x
    x = 138,605.86/355.40
  6. Step 6: Final answer
    x = 390.01

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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.