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Finding the Fourth Proportional to 45.78, 68.55 and 31.30

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Solution

The fourth proportional to 45.78, 68.55 and 31.30 is: 46.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.78 : 68.55 = 31.30 : x
  2. Step 2: Convert to fraction form
    45.78/68.55 = 31.30/x
  3. Step 3: Cross multiply
    45.78x = 68.55 × 31.30
  4. Step 4: Simplify right side
    45.78x = 2,145.86
  5. Step 5: Solve for x
    x = 2,145.86/45.78
  6. Step 6: Final answer
    x = 46.87

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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.