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Finding the Fourth Proportional to 105.21, 157.35 and 61.77

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Solution

The fourth proportional to 105.21, 157.35 and 61.77 is: 92.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.21 : 157.35 = 61.77 : x
  2. Step 2: Convert to fraction form
    105.21/157.35 = 61.77/x
  3. Step 3: Cross multiply
    105.21x = 157.35 × 61.77
  4. Step 4: Simplify right side
    105.21x = 9,719.51
  5. Step 5: Solve for x
    x = 9,719.51/105.21
  6. Step 6: Final answer
    x = 92.38

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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.