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Finding the Fourth Proportional to 55.10, 82.58 and 23

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Solution

The fourth proportional to 55.10, 82.58 and 23 is: 34.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.10 : 82.58 = 23 : x
  2. Step 2: Convert to fraction form
    55.10/82.58 = 23/x
  3. Step 3: Cross multiply
    55.10x = 82.58 × 23
  4. Step 4: Simplify right side
    55.10x = 1,899.34
  5. Step 5: Solve for x
    x = 1,899.34/55.10
  6. Step 6: Final answer
    x = 34.47

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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.