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Finding the Fourth Proportional to 45.86, 63.26 and 26.45

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Solution

The fourth proportional to 45.86, 63.26 and 26.45 is: 36.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.86 : 63.26 = 26.45 : x
  2. Step 2: Convert to fraction form
    45.86/63.26 = 26.45/x
  3. Step 3: Cross multiply
    45.86x = 63.26 × 26.45
  4. Step 4: Simplify right side
    45.86x = 1,672.78
  5. Step 5: Solve for x
    x = 1,672.78/45.86
  6. Step 6: Final answer
    x = 36.48

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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.