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Finding the Fourth Proportional to 98.48, 146.58 and 96.24

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Solution

The fourth proportional to 98.48, 146.58 and 96.24 is: 143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.48 : 146.58 = 96.24 : x
  2. Step 2: Convert to fraction form
    98.48/146.58 = 96.24/x
  3. Step 3: Cross multiply
    98.48x = 146.58 × 96.24
  4. Step 4: Simplify right side
    98.48x = 14,106.86
  5. Step 5: Solve for x
    x = 14,106.86/98.48
  6. Step 6: Final answer
    x = 143.25

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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.