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Finding the Fourth Proportional to 148.07, 204.31 and 89.08

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Solution

The fourth proportional to 148.07, 204.31 and 89.08 is: 122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.07 : 204.31 = 89.08 : x
  2. Step 2: Convert to fraction form
    148.07/204.31 = 89.08/x
  3. Step 3: Cross multiply
    148.07x = 204.31 × 89.08
  4. Step 4: Simplify right side
    148.07x = 18,199.93
  5. Step 5: Solve for x
    x = 18,199.93/148.07
  6. Step 6: Final answer
    x = 122.91

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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.