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Finding the Fourth Proportional to 358.74, 538.38 and 291.06

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Solution

The fourth proportional to 358.74, 538.38 and 291.06 is: 436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.74 : 538.38 = 291.06 : x
  2. Step 2: Convert to fraction form
    358.74/538.38 = 291.06/x
  3. Step 3: Cross multiply
    358.74x = 538.38 × 291.06
  4. Step 4: Simplify right side
    358.74x = 156,700.88
  5. Step 5: Solve for x
    x = 156,700.88/358.74
  6. Step 6: Final answer
    x = 436.81

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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.