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Finding the Fourth Proportional to 105.17, 157.00 and 91.50

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Solution

The fourth proportional to 105.17, 157.00 and 91.50 is: 136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.17 : 157.00 = 91.50 : x
  2. Step 2: Convert to fraction form
    105.17/157.00 = 91.50/x
  3. Step 3: Cross multiply
    105.17x = 157.00 × 91.50
  4. Step 4: Simplify right side
    105.17x = 14,365.27
  5. Step 5: Solve for x
    x = 14,365.27/105.17
  6. Step 6: Final answer
    x = 136.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.