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Finding the Fourth Proportional to 416.58, 624.90 and 271.86

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Solution

The fourth proportional to 416.58, 624.90 and 271.86 is: 407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.58 : 624.90 = 271.86 : x
  2. Step 2: Convert to fraction form
    416.58/624.90 = 271.86/x
  3. Step 3: Cross multiply
    416.58x = 624.90 × 271.86
  4. Step 4: Simplify right side
    416.58x = 169,885.31
  5. Step 5: Solve for x
    x = 169,885.31/416.58
  6. Step 6: Final answer
    x = 407.81

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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.