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Finding the Fourth Proportional to 146.24, 218.35 and 128.98

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Solution

The fourth proportional to 146.24, 218.35 and 128.98 is: 192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.24 : 218.35 = 128.98 : x
  2. Step 2: Convert to fraction form
    146.24/218.35 = 128.98/x
  3. Step 3: Cross multiply
    146.24x = 218.35 × 128.98
  4. Step 4: Simplify right side
    146.24x = 28,162.46
  5. Step 5: Solve for x
    x = 28,162.46/146.24
  6. Step 6: Final answer
    x = 192.58

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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.