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Finding the Fourth Proportional to 102.98, 153.58 and 92.46

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Solution

The fourth proportional to 102.98, 153.58 and 92.46 is: 137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.98 : 153.58 = 92.46 : x
  2. Step 2: Convert to fraction form
    102.98/153.58 = 92.46/x
  3. Step 3: Cross multiply
    102.98x = 153.58 × 92.46
  4. Step 4: Simplify right side
    102.98x = 14,200.01
  5. Step 5: Solve for x
    x = 14,200.01/102.98
  6. Step 6: Final answer
    x = 137.89

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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.