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Finding the Fourth Proportional to 105.30, 157.64 and 90.80

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Solution

The fourth proportional to 105.30, 157.64 and 90.80 is: 135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 157.64 = 90.80 : x
  2. Step 2: Convert to fraction form
    105.30/157.64 = 90.80/x
  3. Step 3: Cross multiply
    105.30x = 157.64 × 90.80
  4. Step 4: Simplify right side
    105.30x = 14,313.71
  5. Step 5: Solve for x
    x = 14,313.71/105.30
  6. Step 6: Final answer
    x = 135.93

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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.