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Finding the Fourth Proportional to 75.39, 103.57 and 64.99

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Solution

The fourth proportional to 75.39, 103.57 and 64.99 is: 89.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.39 : 103.57 = 64.99 : x
  2. Step 2: Convert to fraction form
    75.39/103.57 = 64.99/x
  3. Step 3: Cross multiply
    75.39x = 103.57 × 64.99
  4. Step 4: Simplify right side
    75.39x = 6,731.01
  5. Step 5: Solve for x
    x = 6,731.01/75.39
  6. Step 6: Final answer
    x = 89.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.