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Finding the Fourth Proportional to 154.16, 211.08 and 153.62

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Solution

The fourth proportional to 154.16, 211.08 and 153.62 is: 210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.16 : 211.08 = 153.62 : x
  2. Step 2: Convert to fraction form
    154.16/211.08 = 153.62/x
  3. Step 3: Cross multiply
    154.16x = 211.08 × 153.62
  4. Step 4: Simplify right side
    154.16x = 32,425.34
  5. Step 5: Solve for x
    x = 32,425.34/154.16
  6. Step 6: Final answer
    x = 210.34

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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.