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Finding the Fourth Proportional to 153.04, 230.41 and 105.26

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Solution

The fourth proportional to 153.04, 230.41 and 105.26 is: 158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.04 : 230.41 = 105.26 : x
  2. Step 2: Convert to fraction form
    153.04/230.41 = 105.26/x
  3. Step 3: Cross multiply
    153.04x = 230.41 × 105.26
  4. Step 4: Simplify right side
    153.04x = 24,252.96
  5. Step 5: Solve for x
    x = 24,252.96/153.04
  6. Step 6: Final answer
    x = 158.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.