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Finding the Fourth Proportional to 92.99, 128.45 and 65.45

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Solution

The fourth proportional to 92.99, 128.45 and 65.45 is: 90.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.99 : 128.45 = 65.45 : x
  2. Step 2: Convert to fraction form
    92.99/128.45 = 65.45/x
  3. Step 3: Cross multiply
    92.99x = 128.45 × 65.45
  4. Step 4: Simplify right side
    92.99x = 8,407.05
  5. Step 5: Solve for x
    x = 8,407.05/92.99
  6. Step 6: Final answer
    x = 90.41

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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.