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Finding the Fourth Proportional to 73.22, 101.13 and 64.58

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Solution

The fourth proportional to 73.22, 101.13 and 64.58 is: 89.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.22 : 101.13 = 64.58 : x
  2. Step 2: Convert to fraction form
    73.22/101.13 = 64.58/x
  3. Step 3: Cross multiply
    73.22x = 101.13 × 64.58
  4. Step 4: Simplify right side
    73.22x = 6,530.98
  5. Step 5: Solve for x
    x = 6,530.98/73.22
  6. Step 6: Final answer
    x = 89.20

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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.