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Finding the Fourth Proportional to 419.17, 577.38 and 352.70

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Solution

The fourth proportional to 419.17, 577.38 and 352.70 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.17 : 577.38 = 352.70 : x
  2. Step 2: Convert to fraction form
    419.17/577.38 = 352.70/x
  3. Step 3: Cross multiply
    419.17x = 577.38 × 352.70
  4. Step 4: Simplify right side
    419.17x = 203,639.88
  5. Step 5: Solve for x
    x = 203,639.88/419.17
  6. Step 6: Final answer
    x = 485.82

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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.