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Finding the Fourth Proportional to 103.65, 156.23 and 99.02

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Solution

The fourth proportional to 103.65, 156.23 and 99.02 is: 149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.65 : 156.23 = 99.02 : x
  2. Step 2: Convert to fraction form
    103.65/156.23 = 99.02/x
  3. Step 3: Cross multiply
    103.65x = 156.23 × 99.02
  4. Step 4: Simplify right side
    103.65x = 15,470.47
  5. Step 5: Solve for x
    x = 15,470.47/103.65
  6. Step 6: Final answer
    x = 149.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.