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Finding the Fourth Proportional to 105.50, 157.40 and 90.29

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Solution

The fourth proportional to 105.50, 157.40 and 90.29 is: 134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.50 : 157.40 = 90.29 : x
  2. Step 2: Convert to fraction form
    105.50/157.40 = 90.29/x
  3. Step 3: Cross multiply
    105.50x = 157.40 × 90.29
  4. Step 4: Simplify right side
    105.50x = 14,210.41
  5. Step 5: Solve for x
    x = 14,210.41/105.50
  6. Step 6: Final answer
    x = 134.70

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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.