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Finding the Fourth Proportional to 401.60, 601.23 and 359.91

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Solution

The fourth proportional to 401.60, 601.23 and 359.91 is: 538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 601.23 = 359.91 : x
  2. Step 2: Convert to fraction form
    401.60/601.23 = 359.91/x
  3. Step 3: Cross multiply
    401.60x = 601.23 × 359.91
  4. Step 4: Simplify right side
    401.60x = 216,388.69
  5. Step 5: Solve for x
    x = 216,388.69/401.60
  6. Step 6: Final answer
    x = 538.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.