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Finding the Fourth Proportional to 153.51, 229.30 and 129.21

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Solution

The fourth proportional to 153.51, 229.30 and 129.21 is: 193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.51 : 229.30 = 129.21 : x
  2. Step 2: Convert to fraction form
    153.51/229.30 = 129.21/x
  3. Step 3: Cross multiply
    153.51x = 229.30 × 129.21
  4. Step 4: Simplify right side
    153.51x = 29,627.53
  5. Step 5: Solve for x
    x = 29,627.53/153.51
  6. Step 6: Final answer
    x = 193.00

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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.