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Finding the Fourth Proportional to 104.65, 155.63 and 102.59

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Solution

The fourth proportional to 104.65, 155.63 and 102.59 is: 152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.65 : 155.63 = 102.59 : x
  2. Step 2: Convert to fraction form
    104.65/155.63 = 102.59/x
  3. Step 3: Cross multiply
    104.65x = 155.63 × 102.59
  4. Step 4: Simplify right side
    104.65x = 15,966.08
  5. Step 5: Solve for x
    x = 15,966.08/104.65
  6. Step 6: Final answer
    x = 152.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.