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Finding the Fourth Proportional to 51.58, 71.12 and 33.16

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Solution

The fourth proportional to 51.58, 71.12 and 33.16 is: 45.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.58 : 71.12 = 33.16 : x
  2. Step 2: Convert to fraction form
    51.58/71.12 = 33.16/x
  3. Step 3: Cross multiply
    51.58x = 71.12 × 33.16
  4. Step 4: Simplify right side
    51.58x = 2,358.34
  5. Step 5: Solve for x
    x = 2,358.34/51.58
  6. Step 6: Final answer
    x = 45.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.