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Finding the Fourth Proportional to 355.68, 491.45 and 282.65

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Solution

The fourth proportional to 355.68, 491.45 and 282.65 is: 390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.68 : 491.45 = 282.65 : x
  2. Step 2: Convert to fraction form
    355.68/491.45 = 282.65/x
  3. Step 3: Cross multiply
    355.68x = 491.45 × 282.65
  4. Step 4: Simplify right side
    355.68x = 138,904.47
  5. Step 5: Solve for x
    x = 138,904.47/355.68
  6. Step 6: Final answer
    x = 390.53

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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.