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Finding the Fourth Proportional to 56.47, 85.03 and 49.78

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Solution

The fourth proportional to 56.47, 85.03 and 49.78 is: 74.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.47 : 85.03 = 49.78 : x
  2. Step 2: Convert to fraction form
    56.47/85.03 = 49.78/x
  3. Step 3: Cross multiply
    56.47x = 85.03 × 49.78
  4. Step 4: Simplify right side
    56.47x = 4,232.79
  5. Step 5: Solve for x
    x = 4,232.79/56.47
  6. Step 6: Final answer
    x = 74.96

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