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Finding the Fourth Proportional to 355.81, 491.62 and 282.77

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Solution

The fourth proportional to 355.81, 491.62 and 282.77 is: 390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.81 : 491.62 = 282.77 : x
  2. Step 2: Convert to fraction form
    355.81/491.62 = 282.77/x
  3. Step 3: Cross multiply
    355.81x = 491.62 × 282.77
  4. Step 4: Simplify right side
    355.81x = 139,013.64
  5. Step 5: Solve for x
    x = 139,013.64/355.81
  6. Step 6: Final answer
    x = 390.70

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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.