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Finding the Fourth Proportional to 153.06, 210.75 and 120.30

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Solution

The fourth proportional to 153.06, 210.75 and 120.30 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.06 : 210.75 = 120.30 : x
  2. Step 2: Convert to fraction form
    153.06/210.75 = 120.30/x
  3. Step 3: Cross multiply
    153.06x = 210.75 × 120.30
  4. Step 4: Simplify right side
    153.06x = 25,353.23
  5. Step 5: Solve for x
    x = 25,353.23/153.06
  6. Step 6: Final answer
    x = 165.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.