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Finding the Fourth Proportional to 55.74, 83.51 and 48.87

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Solution

The fourth proportional to 55.74, 83.51 and 48.87 is: 73.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.74 : 83.51 = 48.87 : x
  2. Step 2: Convert to fraction form
    55.74/83.51 = 48.87/x
  3. Step 3: Cross multiply
    55.74x = 83.51 × 48.87
  4. Step 4: Simplify right side
    55.74x = 4,080.89
  5. Step 5: Solve for x
    x = 4,080.89/55.74
  6. Step 6: Final answer
    x = 73.21

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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.