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Finding the Fourth Proportional to 541.60, 811.56 and 359.12

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Solution

The fourth proportional to 541.60, 811.56 and 359.12 is: 538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.60 : 811.56 = 359.12 : x
  2. Step 2: Convert to fraction form
    541.60/811.56 = 359.12/x
  3. Step 3: Cross multiply
    541.60x = 811.56 × 359.12
  4. Step 4: Simplify right side
    541.60x = 291,447.43
  5. Step 5: Solve for x
    x = 291,447.43/541.60
  6. Step 6: Final answer
    x = 538.12

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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.