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Finding the Fourth Proportional to 41.12, 56.68 and 31.40

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Solution

The fourth proportional to 41.12, 56.68 and 31.40 is: 43.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.12 : 56.68 = 31.40 : x
  2. Step 2: Convert to fraction form
    41.12/56.68 = 31.40/x
  3. Step 3: Cross multiply
    41.12x = 56.68 × 31.40
  4. Step 4: Simplify right side
    41.12x = 1,779.75
  5. Step 5: Solve for x
    x = 1,779.75/41.12
  6. Step 6: Final answer
    x = 43.28

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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.