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Finding the Fourth Proportional to 73.00, 100.46 and 64.63

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Solution

The fourth proportional to 73.00, 100.46 and 64.63 is: 88.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.00 : 100.46 = 64.63 : x
  2. Step 2: Convert to fraction form
    73.00/100.46 = 64.63/x
  3. Step 3: Cross multiply
    73.00x = 100.46 × 64.63
  4. Step 4: Simplify right side
    73.00x = 6,491.90
  5. Step 5: Solve for x
    x = 6,491.90/73.00
  6. Step 6: Final answer
    x = 88.94

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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.