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Finding the Fourth Proportional to 153.72, 210.96 and 153.18

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Solution

The fourth proportional to 153.72, 210.96 and 153.18 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.72 : 210.96 = 153.18 : x
  2. Step 2: Convert to fraction form
    153.72/210.96 = 153.18/x
  3. Step 3: Cross multiply
    153.72x = 210.96 × 153.18
  4. Step 4: Simplify right side
    153.72x = 32,314.85
  5. Step 5: Solve for x
    x = 32,314.85/153.72
  6. Step 6: Final answer
    x = 210.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.