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Finding the Fourth Proportional to 55.84, 83.74 and 25.40

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Solution

The fourth proportional to 55.84, 83.74 and 25.40 is: 38.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.84 : 83.74 = 25.40 : x
  2. Step 2: Convert to fraction form
    55.84/83.74 = 25.40/x
  3. Step 3: Cross multiply
    55.84x = 83.74 × 25.40
  4. Step 4: Simplify right side
    55.84x = 2,127.00
  5. Step 5: Solve for x
    x = 2,127.00/55.84
  6. Step 6: Final answer
    x = 38.09

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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.