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Finding the Fourth Proportional to 101.51, 152.15 and 55.83

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Solution

The fourth proportional to 101.51, 152.15 and 55.83 is: 83.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.51 : 152.15 = 55.83 : x
  2. Step 2: Convert to fraction form
    101.51/152.15 = 55.83/x
  3. Step 3: Cross multiply
    101.51x = 152.15 × 55.83
  4. Step 4: Simplify right side
    101.51x = 8,494.26
  5. Step 5: Solve for x
    x = 8,494.26/101.51
  6. Step 6: Final answer
    x = 83.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.