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Finding the Fourth Proportional to 153.63, 230.44 and 39.63

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Solution

The fourth proportional to 153.63, 230.44 and 39.63 is: 59.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 230.44 = 39.63 : x
  2. Step 2: Convert to fraction form
    153.63/230.44 = 39.63/x
  3. Step 3: Cross multiply
    153.63x = 230.44 × 39.63
  4. Step 4: Simplify right side
    153.63x = 9,131.19
  5. Step 5: Solve for x
    x = 9,131.19/153.63
  6. Step 6: Final answer
    x = 59.44

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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.