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Finding the Fourth Proportional to 55.99, 84.31 and 49.63

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Solution

The fourth proportional to 55.99, 84.31 and 49.63 is: 74.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.99 : 84.31 = 49.63 : x
  2. Step 2: Convert to fraction form
    55.99/84.31 = 49.63/x
  3. Step 3: Cross multiply
    55.99x = 84.31 × 49.63
  4. Step 4: Simplify right side
    55.99x = 4,184.31
  5. Step 5: Solve for x
    x = 4,184.31/55.99
  6. Step 6: Final answer
    x = 74.73

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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.