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Finding the Fourth Proportional to 102.88, 153.20 and 98.16

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Solution

The fourth proportional to 102.88, 153.20 and 98.16 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.88 : 153.20 = 98.16 : x
  2. Step 2: Convert to fraction form
    102.88/153.20 = 98.16/x
  3. Step 3: Cross multiply
    102.88x = 153.20 × 98.16
  4. Step 4: Simplify right side
    102.88x = 15,038.11
  5. Step 5: Solve for x
    x = 15,038.11/102.88
  6. Step 6: Final answer
    x = 146.17

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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.