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Finding the Fourth Proportional to 147.84, 204.32 and 142.08

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Solution

The fourth proportional to 147.84, 204.32 and 142.08 is: 196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 204.32 = 142.08 : x
  2. Step 2: Convert to fraction form
    147.84/204.32 = 142.08/x
  3. Step 3: Cross multiply
    147.84x = 204.32 × 142.08
  4. Step 4: Simplify right side
    147.84x = 29,029.79
  5. Step 5: Solve for x
    x = 29,029.79/147.84
  6. Step 6: Final answer
    x = 196.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.