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Finding the Fourth Proportional to 56.41, 85.09 and 49.72

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Solution

The fourth proportional to 56.41, 85.09 and 49.72 is: 75.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.41 : 85.09 = 49.72 : x
  2. Step 2: Convert to fraction form
    56.41/85.09 = 49.72/x
  3. Step 3: Cross multiply
    56.41x = 85.09 × 49.72
  4. Step 4: Simplify right side
    56.41x = 4,230.67
  5. Step 5: Solve for x
    x = 4,230.67/56.41
  6. Step 6: Final answer
    x = 75.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.