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Finding the Fourth Proportional to 107.43, 148.15 and 65.42

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Solution

The fourth proportional to 107.43, 148.15 and 65.42 is: 90.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.43 : 148.15 = 65.42 : x
  2. Step 2: Convert to fraction form
    107.43/148.15 = 65.42/x
  3. Step 3: Cross multiply
    107.43x = 148.15 × 65.42
  4. Step 4: Simplify right side
    107.43x = 9,692.18
  5. Step 5: Solve for x
    x = 9,692.18/107.43
  6. Step 6: Final answer
    x = 90.22

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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.