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Finding the Fourth Proportional to 155.84, 213.76 and 153.16

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Solution

The fourth proportional to 155.84, 213.76 and 153.16 is: 210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.84 : 213.76 = 153.16 : x
  2. Step 2: Convert to fraction form
    155.84/213.76 = 153.16/x
  3. Step 3: Cross multiply
    155.84x = 213.76 × 153.16
  4. Step 4: Simplify right side
    155.84x = 32,739.48
  5. Step 5: Solve for x
    x = 32,739.48/155.84
  6. Step 6: Final answer
    x = 210.08

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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.