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Finding the Fourth Proportional to 142.16, 214.06 and 128.40

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Solution

The fourth proportional to 142.16, 214.06 and 128.40 is: 193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 214.06 = 128.40 : x
  2. Step 2: Convert to fraction form
    142.16/214.06 = 128.40/x
  3. Step 3: Cross multiply
    142.16x = 214.06 × 128.40
  4. Step 4: Simplify right side
    142.16x = 27,485.30
  5. Step 5: Solve for x
    x = 27,485.30/142.16
  6. Step 6: Final answer
    x = 193.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.