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Finding the Fourth Proportional to 109.45, 151.04 and 65.18

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Solution

The fourth proportional to 109.45, 151.04 and 65.18 is: 89.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.45 : 151.04 = 65.18 : x
  2. Step 2: Convert to fraction form
    109.45/151.04 = 65.18/x
  3. Step 3: Cross multiply
    109.45x = 151.04 × 65.18
  4. Step 4: Simplify right side
    109.45x = 9,844.79
  5. Step 5: Solve for x
    x = 9,844.79/109.45
  6. Step 6: Final answer
    x = 89.95

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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.