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Finding the Fourth Proportional to 419.02, 577.85 and 271.58

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Solution

The fourth proportional to 419.02, 577.85 and 271.58 is: 374.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.02 : 577.85 = 271.58 : x
  2. Step 2: Convert to fraction form
    419.02/577.85 = 271.58/x
  3. Step 3: Cross multiply
    419.02x = 577.85 × 271.58
  4. Step 4: Simplify right side
    419.02x = 156,932.50
  5. Step 5: Solve for x
    x = 156,932.50/419.02
  6. Step 6: Final answer
    x = 374.52

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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.