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Finding the Fourth Proportional to 98.45, 146.53 and 98.15

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Solution

The fourth proportional to 98.45, 146.53 and 98.15 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.45 : 146.53 = 98.15 : x
  2. Step 2: Convert to fraction form
    98.45/146.53 = 98.15/x
  3. Step 3: Cross multiply
    98.45x = 146.53 × 98.15
  4. Step 4: Simplify right side
    98.45x = 14,381.92
  5. Step 5: Solve for x
    x = 14,381.92/98.45
  6. Step 6: Final answer
    x = 146.08

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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.