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Finding the Fourth Proportional to 155.73, 214.24 and 152.08

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Solution

The fourth proportional to 155.73, 214.24 and 152.08 is: 209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.73 : 214.24 = 152.08 : x
  2. Step 2: Convert to fraction form
    155.73/214.24 = 152.08/x
  3. Step 3: Cross multiply
    155.73x = 214.24 × 152.08
  4. Step 4: Simplify right side
    155.73x = 32,581.62
  5. Step 5: Solve for x
    x = 32,581.62/155.73
  6. Step 6: Final answer
    x = 209.22

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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.