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Finding the Fourth Proportional to 153.58, 230.41 and 45.37

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Solution

The fourth proportional to 153.58, 230.41 and 45.37 is: 68.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.58 : 230.41 = 45.37 : x
  2. Step 2: Convert to fraction form
    153.58/230.41 = 45.37/x
  3. Step 3: Cross multiply
    153.58x = 230.41 × 45.37
  4. Step 4: Simplify right side
    153.58x = 10,454.16
  5. Step 5: Solve for x
    x = 10,454.16/153.58
  6. Step 6: Final answer
    x = 68.07

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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.