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Finding the Fourth Proportional to 107.47, 162.00 and 101.20

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Solution

The fourth proportional to 107.47, 162.00 and 101.20 is: 152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.47 : 162.00 = 101.20 : x
  2. Step 2: Convert to fraction form
    107.47/162.00 = 101.20/x
  3. Step 3: Cross multiply
    107.47x = 162.00 × 101.20
  4. Step 4: Simplify right side
    107.47x = 16,393.53
  5. Step 5: Solve for x
    x = 16,393.53/107.47
  6. Step 6: Final answer
    x = 152.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.