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Finding the Fourth Proportional to 155.28, 212.91 and 152.04

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Solution

The fourth proportional to 155.28, 212.91 and 152.04 is: 208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.28 : 212.91 = 152.04 : x
  2. Step 2: Convert to fraction form
    155.28/212.91 = 152.04/x
  3. Step 3: Cross multiply
    155.28x = 212.91 × 152.04
  4. Step 4: Simplify right side
    155.28x = 32,370.84
  5. Step 5: Solve for x
    x = 32,370.84/155.28
  6. Step 6: Final answer
    x = 208.47

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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.