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Finding the Fourth Proportional to 55, 82.38 and 35.72

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Solution

The fourth proportional to 55, 82.38 and 35.72 is: 53.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55 : 82.38 = 35.72 : x
  2. Step 2: Convert to fraction form
    55/82.38 = 35.72/x
  3. Step 3: Cross multiply
    55x = 82.38 × 35.72
  4. Step 4: Simplify right side
    55x = 2,942.61
  5. Step 5: Solve for x
    x = 2,942.61/55
  6. Step 6: Final answer
    x = 53.50

Related Problems

Find fourth proportional to 27.50, 41.19 and 17.86
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1.5x scale

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.