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Finding the Fourth Proportional to 55.94, 84.40 and 53.06

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Solution

The fourth proportional to 55.94, 84.40 and 53.06 is: 80.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.94 : 84.40 = 53.06 : x
  2. Step 2: Convert to fraction form
    55.94/84.40 = 53.06/x
  3. Step 3: Cross multiply
    55.94x = 84.40 × 53.06
  4. Step 4: Simplify right side
    55.94x = 4,478.26
  5. Step 5: Solve for x
    x = 4,478.26/55.94
  6. Step 6: Final answer
    x = 80.05

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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.