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Finding the Fourth Proportional to 98.84, 148.29 and 55.46

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Solution

The fourth proportional to 98.84, 148.29 and 55.46 is: 83.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.84 : 148.29 = 55.46 : x
  2. Step 2: Convert to fraction form
    98.84/148.29 = 55.46/x
  3. Step 3: Cross multiply
    98.84x = 148.29 × 55.46
  4. Step 4: Simplify right side
    98.84x = 8,224.16
  5. Step 5: Solve for x
    x = 8,224.16/98.84
  6. Step 6: Final answer
    x = 83.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.