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Finding the Fourth Proportional to 107.60, 148.48 and 89.28

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Solution

The fourth proportional to 107.60, 148.48 and 89.28 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 148.48 = 89.28 : x
  2. Step 2: Convert to fraction form
    107.60/148.48 = 89.28/x
  3. Step 3: Cross multiply
    107.60x = 148.48 × 89.28
  4. Step 4: Simplify right side
    107.60x = 13,256.29
  5. Step 5: Solve for x
    x = 13,256.29/107.60
  6. Step 6: Final answer
    x = 123.20

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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.