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Finding the Fourth Proportional to 159.44, 240.55 and 152.16

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Solution

The fourth proportional to 159.44, 240.55 and 152.16 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.44 : 240.55 = 152.16 : x
  2. Step 2: Convert to fraction form
    159.44/240.55 = 152.16/x
  3. Step 3: Cross multiply
    159.44x = 240.55 × 152.16
  4. Step 4: Simplify right side
    159.44x = 36,602.09
  5. Step 5: Solve for x
    x = 36,602.09/159.44
  6. Step 6: Final answer
    x = 229.57

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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.