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Finding the Fourth Proportional to 152.08, 229.24 and 144.16

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Solution

The fourth proportional to 152.08, 229.24 and 144.16 is: 217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.08 : 229.24 = 144.16 : x
  2. Step 2: Convert to fraction form
    152.08/229.24 = 144.16/x
  3. Step 3: Cross multiply
    152.08x = 229.24 × 144.16
  4. Step 4: Simplify right side
    152.08x = 33,047.24
  5. Step 5: Solve for x
    x = 33,047.24/152.08
  6. Step 6: Final answer
    x = 217.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.