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Finding the Fourth Proportional to 147.51, 220.42 and 128.99

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Solution

The fourth proportional to 147.51, 220.42 and 128.99 is: 192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.51 : 220.42 = 128.99 : x
  2. Step 2: Convert to fraction form
    147.51/220.42 = 128.99/x
  3. Step 3: Cross multiply
    147.51x = 220.42 × 128.99
  4. Step 4: Simplify right side
    147.51x = 28,431.98
  5. Step 5: Solve for x
    x = 28,431.98/147.51
  6. Step 6: Final answer
    x = 192.75

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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.