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Finding the Fourth Proportional to 103.02, 153.60 and 98.94

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Solution

The fourth proportional to 103.02, 153.60 and 98.94 is: 147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 153.60 = 98.94 : x
  2. Step 2: Convert to fraction form
    103.02/153.60 = 98.94/x
  3. Step 3: Cross multiply
    103.02x = 153.60 × 98.94
  4. Step 4: Simplify right side
    103.02x = 15,197.18
  5. Step 5: Solve for x
    x = 15,197.18/103.02
  6. Step 6: Final answer
    x = 147.52

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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.