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Finding the Fourth Proportional to 79.86, 110.26 and 56.58

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Solution

The fourth proportional to 79.86, 110.26 and 56.58 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.86 : 110.26 = 56.58 : x
  2. Step 2: Convert to fraction form
    79.86/110.26 = 56.58/x
  3. Step 3: Cross multiply
    79.86x = 110.26 × 56.58
  4. Step 4: Simplify right side
    79.86x = 6,238.17
  5. Step 5: Solve for x
    x = 6,238.17/79.86
  6. Step 6: Final answer
    x = 78.11

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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.